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122020965 = 33511127647
BaseRepresentation
bin1110100010111…
…10010001100101
322111121022022000
413101132101211
5222214132330
620035155513
73011106153
oct721362145
9274538260
10122020965
1162972180
1234a45b99
131c383a71
14122c43d3
15aaa4560
hex745e465

122020965 has 64 divisors (see below), whose sum is σ = 238878720. Its totient is φ = 58605120.

The previous prime is 122020949. The next prime is 122020973. The reversal of 122020965 is 569020221.

It is not a de Polignac number, because 122020965 - 24 = 122020949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188272 + ... + 188918.

It is an arithmetic number, because the mean of its divisors is an integer number (3732480).

Almost surely, 2122020965 is an apocalyptic number.

122020965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122020965 is a deficient number, since it is larger than the sum of its proper divisors (116857755).

122020965 is a wasteful number, since it uses less digits than its factorization.

122020965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 122020965 is about 11046.3100173768. The cubic root of 122020965 is about 495.9959744839.

The spelling of 122020965 in words is "one hundred twenty-two million, twenty thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 127 135 165 297 381 495 635 647 1143 1397 1485 1905 1941 3235 3429 4191 5715 5823 6985 7117 9705 12573 17145 17469 20955 21351 29115 35585 37719 62865 64053 82169 87345 106755 188595 192159 246507 320265 410845 739521 903859 960795 1232535 2218563 2711577 3697605 4519295 8134731 11092815 13557885 24404193 40673655 122020965