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122120012001020 = 225111493725442709
BaseRepresentation
bin11011110001000101000111…
…111011110110111011111100
3121000101120002121101012201012
4123301011013323312323330
5112001303241033013040
61111421054203334352
734502610511650065
oct3361050773667374
9530346077335635
10122120012001020
1135a02896126710
1211843814b213b8
13531ab384ba9a7
1422228d66ab56c
15e1b94d6a9865
hex6f1147ef6efc

122120012001020 has 48 divisors (see below), whose sum is σ = 281643468876000. Its totient is φ = 44109241662720.

The previous prime is 122120012000941. The next prime is 122120012001049. The reversal of 122120012001020 is 20100210021221.

It is a super-2 number, since 2×1221200120010202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122120012000986 and 122120012001004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1862688575 + ... + 1862754134.

It is an arithmetic number, because the mean of its divisors is an integer number (5867572268250).

Almost surely, 2122120012001020 is an apocalyptic number.

122120012001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120012001020 is an abundant number, since it is smaller than the sum of its proper divisors (159523456874980).

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

122120012001020 is a wasteful number, since it uses less digits than its factorization.

122120012001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725442878 (or 3725442876 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122120012001020 its reverse (20100210021221), we get a palindrome (142220222022241).

The spelling of 122120012001020 in words is "one hundred twenty-two trillion, one hundred twenty billion, twelve million, one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 596 745 1490 1639 2980 3278 6556 8195 16390 32780 3725442709 7450885418 14901770836 18627213545 37254427090 40979869799 74508854180 81959739598 163919479196 204899348995 409798697990 555090963641 819597395980 1110181927282 2220363854564 2775454818205 5550909636410 6106000600051 11101819272820 12212001200102 24424002400204 30530003000255 61060006000510 122120012001020