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122014008 = 23323115449
BaseRepresentation
bin1110100010111…
…00100100111000
322111120221202100
413101130210320
5222213422013
620035103400
73011046654
oct721344470
9274527670
10122014008
1162967a26
1234a41b60
131c38084c
14122c1a64
15aaa2473
hex745c938

122014008 has 48 divisors (see below), whose sum is σ = 331578000. Its totient is φ = 40533120.

The previous prime is 122014007. The next prime is 122014019. The reversal of 122014008 is 800410221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122014001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19668 + ... + 25116.

It is an arithmetic number, because the mean of its divisors is an integer number (6907875).

Almost surely, 2122014008 is an apocalyptic number.

122014008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122014008 is an abundant number, since it is smaller than the sum of its proper divisors (209563992).

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

122014008 is a wasteful number, since it uses less digits than its factorization.

122014008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 122014008 is about 11045.9951113514. The cubic root of 122014008 is about 495.9865479356.

Adding to 122014008 its reverse (800410221), we get a palindrome (922424229).

The spelling of 122014008 in words is "one hundred twenty-two million, fourteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 311 622 933 1244 1866 2488 2799 3732 5449 5598 7464 10898 11196 16347 21796 22392 32694 43592 49041 65388 98082 130776 196164 392328 1694639 3389278 5083917 6778556 10167834 13557112 15251751 20335668 30503502 40671336 61007004 122014008