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122142852 = 223213318419
BaseRepresentation
bin1110100011111…
…00000010000100
322111211111111100
413101330002010
5222232032402
620041540100
73012124416
oct721740204
9274744440
10122142852
1162a45807
1234aa4630
131c3c73a0
14123169b6
15aaca71c
hex747c084

122142852 has 72 divisors (see below), whose sum is σ = 343266560. Its totient is φ = 36365760.

The previous prime is 122142851. The next prime is 122142863. The reversal of 122142852 is 258241221.

It is not an unprimeable number, because it can be changed into a prime (122142851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10299 + ... + 18717.

Almost surely, 2122142852 is an apocalyptic number.

122142852 is a gapful number since it is divisible by the number (12) 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 122142852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171633280).

122142852 is an abundant number, since it is smaller than the sum of its proper divisors (221123708).

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

122142852 is a wasteful number, since it uses less digits than its factorization.

122142852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8473 (or 8468 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 122142852 is about 11051.8257315251. The cubic root of 122142852 is about 496.1610700006.

The spelling of 122142852 in words is "one hundred twenty-two million, one hundred forty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 8419 14508 16838 25257 33676 50514 75771 101028 109447 151542 218894 260989 303084 328341 437788 521978 656682 782967 985023 1043956 1313364 1565934 1970046 2348901 3131868 3392857 3940092 4697802 6785714 9395604 10178571 13571428 20357142 30535713 40714284 61071426 122142852