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122020016 = 24172391877
BaseRepresentation
bin1110100010111…
…10000010110000
322111121020222212
413101132002300
5222214120031
620035151252
73011103326
oct721360260
9274536885
10122020016
1162971498
1234a45528
131c3834c1
14122c3d16
15aaa412b
hex745e0b0

122020016 has 40 divisors (see below), whose sum is σ = 251501760. Its totient is φ = 57150464.

The previous prime is 122020001. The next prime is 122020051. The reversal of 122020016 is 610020221.

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, 64070 + ... + 65946.

It is an arithmetic number, because the mean of its divisors is an integer number (6287544).

Almost surely, 2122020016 is an apocalyptic number.

122020016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122020016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125750880).

122020016 is an abundant number, since it is smaller than the sum of its proper divisors (129481744).

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

122020016 is a wasteful number, since it uses less digits than its factorization.

122020016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 122020016 is about 11046.2670617725. The cubic root of 122020016 is about 495.9946886355.

Adding to 122020016 its reverse (610020221), we get a palindrome (732040237).

The spelling of 122020016 in words is "one hundred twenty-two million, twenty thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 239 272 478 956 1877 1912 3754 3824 4063 7508 8126 15016 16252 30032 31909 32504 63818 65008 127636 255272 448603 510544 897206 1794412 3588824 7177648 7626251 15252502 30505004 61010008 122020016