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122120201200020 = 223517226313529027
BaseRepresentation
bin11011110001000101010011…
…001101100110000110010100
3121000101120120210101111221120
4123301011103031212012110
5112001304133001400040
61111421125042443540
734502615300060502
oct3361052315460624
9530346523344846
10122120201200020
1135a02982a01721
12118438683635b0
13531ab6876296a
14222291387b672
15e1b9600cd7d0
hex6f1153366194

122120201200020 has 96 divisors (see below), whose sum is σ = 362052763003008. Its totient is φ = 30649582620672.

The previous prime is 122120201199973. The next prime is 122120201200027. The reversal of 122120201200020 is 20002102021221.

It is a super-2 number, since 2×1221202012000202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120201200027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230574747 + ... + 231103773.

It is an arithmetic number, because the mean of its divisors is an integer number (3771382947948).

Almost surely, 2122120201200020 is an apocalyptic number.

122120201200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120201200020 is an abundant number, since it is smaller than the sum of its proper divisors (239932561802988).

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

122120201200020 is a wasteful number, since it uses less digits than its factorization.

122120201200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755369 (or 755367 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122120201200020 its reverse (20002102021221), we get a palindrome (142122303221241).

The spelling of 122120201200020 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 226313 452626 529027 678939 905252 1058054 1131565 1357878 1587081 2116108 2263130 2645135 2715756 3174162 3394695 3847321 4526260 5290270 6348324 6789390 7694642 7935405 8993459 10580540 11541963 13578780 15389284 15870810 17986918 19236605 23083926 26980377 31741620 35973836 38473210 44967295 46167852 53960754 57709815 76946420 89934590 107921508 115419630 134901885 179869180 230839260 269803770 539607540 119725687451 239451374902 359177062353 478902749804 598628437255 718354124706 1197256874510 1436708249412 1795885311765 2035336686667 2394513749020 3591770623530 4070673373334 6106010060001 7183541247060 8141346746668 10176683433335 12212020120002 20353366866670 24424040240004 30530050300005 40706733733340 61060100600010 122120201200020