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122120221000120 = 2357795520805651
BaseRepresentation
bin11011110001000101010100…
…011001001000000110111000
3121000101120122011122110120121
4123301011110121020012320
5112001304203034000440
61111421131031103024
734502615630264650
oct3361052431100670
9530346564573517
10122120221000120
1135a029930a5842
1211843872b11a74
13531ab6c8a60b5
142222916353360
15e1b961be034a
hex6f11546481b8

122120221000120 has 64 divisors (see below), whose sum is σ = 317998405555200. Its totient is φ = 41339792707200.

The previous prime is 122120221000117. The next prime is 122120221000147. The reversal of 122120221000120 is 21000122021221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122120221000094 and 122120221000103.

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, 2760380706 + ... + 2760424945.

It is an arithmetic number, because the mean of its divisors is an integer number (4968725086800).

Almost surely, 2122120221000120 is an apocalyptic number.

122120221000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120221000120 is an abundant number, since it is smaller than the sum of its proper divisors (195878184555080).

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

122120221000120 is a wasteful number, since it uses less digits than its factorization.

122120221000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520805748 (or 5520805744 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122120221000120 its reverse (21000122021221), we get a palindrome (143120343021341).

The spelling of 122120221000120 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 1106 1580 2212 2765 3160 4424 5530 11060 22120 5520805651 11041611302 22083222604 27604028255 38645639557 44166445208 55208056510 77291279114 110416113020 154582558228 193228197785 220832226040 309165116456 386456395570 436143646429 772912791140 872287292858 1545825582280 1744574585716 2180718232145 3053005525003 3489149171432 4361436464290 6106011050006 8722872928580 12212022100012 15265027625015 17445745857160 24424044200024 30530055250030 61060110500060 122120221000120