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122024135244 = 2231134915111753
BaseRepresentation
bin111000110100100110…
…1001000101001001100
3102122222001221100001110
41301221031020221030
53444401134311434
6132020200412020
711546605015224
oct1615115105114
9378861840043
10122024135244
1147828496970
121b795777010
13b67866212b
145c980c5084
153292a344e9
hex1c69348a4c

122024135244 has 96 divisors (see below), whose sum is σ = 311880844800. Its totient is φ = 36825638400.

The previous prime is 122024135243. The next prime is 122024135251. The reversal of 122024135244 is 442531420221.

It is a happy number.

122024135244 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (122024135243) 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, 69607872 + ... + 69609624.

It is an arithmetic number, because the mean of its divisors is an integer number (3248758800).

Almost surely, 2122024135244 is an apocalyptic number.

It is an amenable number.

122024135244 is an abundant number, since it is smaller than the sum of its proper divisors (189856709556).

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

122024135244 is a wasteful number, since it uses less digits than its factorization.

122024135244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 122024135244 its reverse (442531420221), we get a palindrome (564555555465).

The spelling of 122024135244 in words is "one hundred twenty-two billion, twenty-four million, one hundred thirty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 349 698 1047 1396 1511 1753 2094 3022 3506 3839 4188 4533 5259 6044 7012 7678 9066 10518 11517 15356 16621 18132 19283 21036 23034 33242 38566 46068 49863 57849 66484 77132 99726 115698 199452 231396 527339 611797 1054678 1223594 1582017 1835391 2109356 2447188 2648783 3164034 3670782 5297566 5800729 6328068 6729767 7341564 7946349 10595132 11601458 13459534 15892698 17402187 20189301 23202916 26919068 29136613 31785396 34804374 40378602 58273226 69608748 80757204 87409839 116546452 174819678 349639356 924425267 1848850534 2773275801 3697701068 5546551602 10168677937 11093103204 20337355874 30506033811 40674711748 61012067622 122024135244