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122020012111122 = 23228360793940397
BaseRepresentation
bin11011101111100111111111…
…011110100011010100010010
3121000000222222102221110111100
4123233213333132203110102
5111443133441100023442
61111303115242525230
734462440435630426
oct3357477736432422
9530028872843440
10122020012111122
113597443a866304
1211828367206816
13531158ca193c8
14221bb2b678b86
15e1904949284c
hex6ef9ff7a3512

122020012111122 has 48 divisors (see below), whose sum is σ = 265354597347840. Its totient is φ = 40522937894496.

The previous prime is 122020012111117. The next prime is 122020012111141. The reversal of 122020012111122 is 221111210020221.

122020012111122 is a `hidden beast` number, since 1 + 220 + 200 + 1 + 211 + 11 + 22 = 666.

122020012111122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122020012111095 and 122020012111104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28996228 + ... + 32936624.

It is an arithmetic number, because the mean of its divisors is an integer number (5528220778080).

Almost surely, 2122020012111122 is an apocalyptic number.

122020012111122 is an abundant number, since it is smaller than the sum of its proper divisors (143334585236718).

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

122020012111122 is a wasteful number, since it uses less digits than its factorization.

122020012111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946767 (or 3946764 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122020012111122 its reverse (221111210020221), we get a palindrome (343131222131343).

The spelling of 122020012111122 in words is "one hundred twenty-two trillion, twenty billion, twelve million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 283 566 849 1698 2547 5094 6079 12158 18237 36474 54711 109422 1720357 3440714 3940397 5161071 7880794 10322142 11821191 15483213 23642382 30966426 35463573 70927146 1115132351 2230264702 3345397053 6690794106 10036191159 20072382318 23953673363 47907346726 71861020089 143722040178 215583060267 431166120534 6778889561729 13557779123458 20336668685187 40673337370374 61010006055561 122020012111122