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121023331111220 = 225293134571458749
BaseRepresentation
bin11011100001000111110000…
…101010010001000100110100
3120212111201101000210201012212
4123201013300222101010310
5111330321240231024340
61105221203434032552
734330434652126466
oct3341076052210464
9525451330721185
10121023331111220
113561a7853822aa
12116a7170878758
13526b5b3256165
1421c57bbd56136
15ded1642d3a65
hex6e11f0a91134

121023331111220 has 96 divisors (see below), whose sum is σ = 264330051300000. Its totient is φ = 46488734982144.

The previous prime is 121023331111201. The next prime is 121023331111237. The reversal of 121023331111220 is 22111133320121.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 8920424677264 + 112102906433956 = 2986708^2 + 10587866^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82234406 + ... + 83693154.

It is an arithmetic number, because the mean of its divisors is an integer number (2753438034375).

Almost surely, 2121023331111220 is an apocalyptic number.

121023331111220 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 121023331111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132165025650000).

121023331111220 is an abundant number, since it is smaller than the sum of its proper divisors (143306720188780).

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

121023331111220 is a wasteful number, since it uses less digits than its factorization.

121023331111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459557 (or 1459555 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 121023331111220 its reverse (22111133320121), we get a palindrome (143134464431341).

The spelling of 121023331111220 in words is "one hundred twenty-one trillion, twenty-three billion, three hundred thirty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 313 457 580 626 914 1252 1565 1828 2285 3130 4570 6260 9077 9140 13253 18154 26506 36308 45385 53012 66265 90770 132530 143041 181540 265060 286082 572164 715205 1430410 1458749 2860820 2917498 4148189 5834996 7293745 8296378 14587490 16592756 20740945 29174980 41481890 42303721 82963780 84607442 169214884 211518605 423037210 456588437 666648293 846074420 913176874 1333296586 1826353748 2282942185 2666593172 3333241465 4565884370 6666482930 9131768740 13241064673 13332965860 19332800497 26482129346 38665600994 52964258692 66205323365 77331201988 96664002485 132410646730 193328004970 208660915709 264821293460 386656009940 417321831418 834643662836 1043304578545 2086609157090 4173218314180 6051166555561 12102333111122 24204666222244 30255832777805 60511665555610 121023331111220