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122120000011020 = 223511857215904671
BaseRepresentation
bin11011110001000101000111…
…001110000111101100001100
3121000101120001202211001112010
4123301011013032013230030
5112001303230000323040
61111421053054341220
734502610305021604
oct3361050716075414
9530346052731463
10122120000011020
1135a0288a387420
1211843810aba810
13531ab35b8040b
1422228d4c69c04
15e1b94c5dbe80
hex6f1147387b0c

122120000011020 has 96 divisors (see below), whose sum is σ = 373456356489216. Its totient is φ = 29570303603200.

The previous prime is 122120000011003. The next prime is 122120000011159. The reversal of 122120000011020 is 20110000021221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122120000010987 and 122120000011005.

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, 107386716 + ... + 108517955.

It is an arithmetic number, because the mean of its divisors is an integer number (3890170380096).

Almost surely, 2122120000011020 is an apocalyptic number.

122120000011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120000011020 is an abundant number, since it is smaller than the sum of its proper divisors (251336356478196).

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

122120000011020 is a wasteful number, since it uses less digits than its factorization.

122120000011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215905551 (or 215905549 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122120000011020 its reverse (20110000021221), we get a palindrome (142230000032241).

The spelling of 122120000011020 in words is "one hundred twenty-two trillion, one hundred twenty billion, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 857 1714 2571 3428 4285 5142 8570 9427 10284 12855 17140 18854 25710 28281 37708 47135 51420 56562 94270 113124 141405 188540 282810 565620 215904671 431809342 647714013 863618684 1079523355 1295428026 2159046710 2374951381 2590856052 3238570065 4318093420 4749902762 6477140130 7124854143 9499805524 11874756905 12954280260 14249708286 23749513810 28499416572 35624270715 47499027620 71248541430 142497082860 185030303047 370060606094 555090909141 740121212188 925151515235 1110181818282 1850303030470 2035333333517 2220363636564 2775454545705 3700606060940 4070666667034 5550909091410 6106000000551 8141333334068 10176666667585 11101818182820 12212000001102 20353333335170 24424000002204 30530000002755 40706666670340 61060000005510 122120000011020