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121406807393880 = 233515720533138869
BaseRepresentation
bin11011100110101100111001…
…101000001100011001011000
3120220212101012011002021021120
4123212230321220030121120
5111403112120143101010
61110113303425405240
734400231602552461
oct3346547150143130
9526771164067246
10121406807393880
1135758379783258
1211749552199820
1352987c7470a58
1421da1997b9d68
15e0810a235e70
hex6e6b39a0c658

121406807393880 has 128 divisors (see below), whose sum is σ = 366718953182400. Its totient is φ = 32153258022912.

The previous prime is 121406807393831. The next prime is 121406807393897. The reversal of 121406807393880 is 88393708604121.

121406807393880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1214068073938802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37109086 + ... + 40247954.

Almost surely, 2121406807393880 is an apocalyptic number.

121406807393880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121406807393880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183359476591200).

121406807393880 is an abundant number, since it is smaller than the sum of its proper divisors (245312145788520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121406807393880 is a wasteful number, since it uses less digits than its factorization.

121406807393880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141093 (or 3141089 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 121406807393880 in words is "one hundred twenty-one trillion, four hundred six billion, eight hundred seven million, three hundred ninety-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2053 2355 3140 3768 4106 4710 6159 6280 8212 9420 10265 12318 16424 18840 20530 24636 30795 41060 49272 61590 82120 123180 246360 322321 644642 966963 1289284 1611605 1933926 2578568 3138869 3223210 3867852 4834815 6277738 6446420 7735704 9416607 9669630 12555476 12892840 15694345 18833214 19339260 25110952 31388690 37666428 38678520 47083035 62777380 75332856 94166070 125554760 188332140 376664280 492802433 985604866 1478407299 1971209732 2464012165 2956814598 3942419464 4928024330 5913629196 6444098057 7392036495 9856048660 11827258392 12888196114 14784072990 19332294171 19712097320 25776392228 29568145980 32220490285 38664588342 51552784456 59136291960 64440980570 77329176684 96661470855 128881961140 154658353368 193322941710 257763922280 386645883420 773291766840 1011723394949 2023446789898 3035170184847 4046893579796 5058616974745 6070340369694 8093787159592 10117233949490 12140680739388 15175850924235 20234467898980 24281361478776 30351701848470 40468935797960 60703403696940 121406807393880