Search a number
-
+
122270661972 = 22331132135759
BaseRepresentation
bin111000111011111100…
…1100011110101010100
3102200121020211012011000
41301313321203311110
54000402242140342
6132100444343300
711555660323104
oct1616771436524
9380536735130
10122270661972
1147944668068
121b844244b30
13b6b7759934
145cbcb39204
1532a94ce44c
hex1c77e63d54

122270661972 has 24 divisors (see below), whose sum is σ = 316998012800. Its totient is φ = 40756887288.

The previous prime is 122270661949. The next prime is 122270662001. The reversal of 122270661972 is 279166072221.

122270661972 is a `hidden beast` number, since 1 + 2 + 2 + 27 + 0 + 6 + 619 + 7 + 2 = 666.

It is a super-2 number, since 2×1222706619722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 566067772 + ... + 566067987.

Almost surely, 2122270661972 is an apocalyptic number.

122270661972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122270661972 is an abundant number, since it is smaller than the sum of its proper divisors (194727350828).

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

122270661972 is a wasteful number, since it uses less digits than its factorization.

122270661972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132135772 (or 1132135764 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 122270661972 in words is "one hundred twenty-two billion, two hundred seventy million, six hundred sixty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1132135759 2264271518 3396407277 4528543036 6792814554 10189221831 13585629108 20378443662 30567665493 40756887324 61135330986 122270661972