Search a number
-
+
122126561144 = 2372279607187
BaseRepresentation
bin111000110111101001…
…1110110111101111000
3102200020012200002222022
41301233103312331320
54000103344424034
6132034300014012
711552260433060
oct1615723667570
9380205602868
10122126561144
1147880294a75
121b803b31308
13b693944b83
145ca79483a0
15329ba17b2e
hex1c6f4f6f78

122126561144 has 32 divisors (see below), whose sum is σ = 262852663680. Its totient is φ = 52109376864.

The previous prime is 122126561119. The next prime is 122126561147. The reversal of 122126561144 is 441165621221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122126561147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4790882 + ... + 4816305.

It is an arithmetic number, because the mean of its divisors is an integer number (8214145740).

Almost surely, 2122126561144 is an apocalyptic number.

122126561144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122126561144 is an abundant number, since it is smaller than the sum of its proper divisors (140726102536).

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

122126561144 is a wasteful number, since it uses less digits than its factorization.

122126561144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9607427 (or 9607423 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The spelling of 122126561144 in words is "one hundred twenty-two billion, one hundred twenty-six million, five hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 227 454 908 1589 1816 3178 6356 12712 9607187 19214374 38428748 67250309 76857496 134500618 269001236 538002472 2180831449 4361662898 8723325796 15265820143 17446651592 30531640286 61063280572 122126561144