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122150513412 = 223210313329009
BaseRepresentation
bin111000111000010111…
…1001110101100000100
3102200021212202000022100
41301300233032230010
54000131012412122
6132040513232100
711553001142544
oct1616057165404
9380255660270
10122150513412
1147892864734
121b80bb62630
13b6988b0205
145caabc1324
15329db99aac
hex1c70bceb04

122150513412 has 36 divisors (see below), whose sum is σ = 308800231740. Its totient is φ = 40712765952.

The previous prime is 122150513411. The next prime is 122150513417. The reversal of 122150513412 is 214315051221.

It is a happy number.

122150513412 is a `hidden beast` number, since 1 + 2 + 21 + 505 + 134 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43507285056 + 78643228356 = 208584^2 + 280434^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (122150513411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206764 + ... + 535772.

It is an arithmetic number, because the mean of its divisors is an integer number (8577784215).

Almost surely, 2122150513412 is an apocalyptic number.

122150513412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122150513412 is an abundant number, since it is smaller than the sum of its proper divisors (186649718328).

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

122150513412 is a wasteful number, since it uses less digits than its factorization.

122150513412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339332 (or 339327 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 122150513412 its reverse (214315051221), we get a palindrome (336465564633).

The spelling of 122150513412 in words is "one hundred twenty-two billion, one hundred fifty million, five hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 10313 20626 30939 41252 61878 92817 123756 185634 329009 371268 658018 987027 1316036 1974054 2961081 3948108 5922162 11844324 3393069817 6786139634 10179209451 13572279268 20358418902 30537628353 40716837804 61075256706 122150513412