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122312000132 = 22725910576963
BaseRepresentation
bin111000111101001011…
…1010000001010000100
3102200201010121101102222
41301322113100022010
54000443333001012
6132104522351512
711560001563400
oct1617227201204
9380633541388
10122312000132
1147965a32033
121b85605b598
13b6c31a159a
145cc441a100
1532ace47972
hex1c7a5d0284

122312000132 has 36 divisors (see below), whose sum is σ = 253212518160. Its totient is φ = 51530958864.

The previous prime is 122312000101. The next prime is 122312000159. The reversal of 122312000132 is 231000213221.

122312000132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 122312000132.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5276918 + ... + 5300045.

It is an arithmetic number, because the mean of its divisors is an integer number (7033681060).

Almost surely, 2122312000132 is an apocalyptic number.

It is an amenable number.

122312000132 is an abundant number, since it is smaller than the sum of its proper divisors (130900518028).

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

122312000132 is a wasteful number, since it uses less digits than its factorization.

122312000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10577040 (or 10577031 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 122312000132 its reverse (231000213221), we get a palindrome (353312213353).

The spelling of 122312000132 in words is "one hundred twenty-two billion, three hundred twelve million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 413 826 1652 2891 5782 11564 10576963 21153926 42307852 74038741 148077482 296154964 518271187 624040817 1036542374 1248081634 2073084748 2496163268 4368285719 8736571438 17473142876 30578000033 61156000066 122312000132