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122012144144 = 24111136134963
BaseRepresentation
bin111000110100001111…
…1011001001000010000
3102122221020101010100122
41301220133121020100
53444340102103034
6132015051405412
711546401053602
oct1615037311020
9378836333318
10122012144144
1147821746870
121b791753868
13b6760241c7
145c96683172
15329196662e
hex1c687d9210

122012144144 has 40 divisors (see below), whose sum is σ = 260171553312. Its totient is φ = 54969259520.

The previous prime is 122012144101. The next prime is 122012144173. The reversal of 122012144144 is 441441210221.

122012144144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1220121441443 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3047594 + ... + 3087369.

Almost surely, 2122012144144 is an apocalyptic number.

It is an amenable number.

122012144144 is an abundant number, since it is smaller than the sum of its proper divisors (138159409168).

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

122012144144 is a wasteful number, since it uses less digits than its factorization.

122012144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6135095 (or 6135089 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 122012144144 its reverse (441441210221), we get a palindrome (563453354365).

The spelling of 122012144144 in words is "one hundred twenty-two billion, twelve million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 113 176 226 452 904 1243 1808 2486 4972 9944 19888 6134963 12269926 24539852 49079704 67484593 98159408 134969186 269938372 539876744 693250819 1079753488 1386501638 2773003276 5546006552 7625759009 11092013104 15251518018 30503036036 61006072072 122012144144