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122442024204 = 223217827241921
BaseRepresentation
bin111001000001000011…
…1010000010100001100
3102201001012021021221100
41302002013100110030
54001230124233304
6132125445303100
711563141014333
oct1620207202414
9381035237840
10122442024204
1147a22370045
121b891704a90
13b7140c7cc6
145cd77c4d1a
1532b957d439
hex1c821d050c

122442024204 has 72 divisors (see below), whose sum is σ = 328110099408. Its totient is φ = 38366576640.

The previous prime is 122442024203. The next prime is 122442024223. The reversal of 122442024204 is 402420244221.

122442024204 is a `hidden beast` number, since 12 + 2 + 4 + 420 + 24 + 204 = 666.

It is not an unprimeable number, because it can be changed into a prime (122442024203) 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 23 ways as a sum of consecutive naturals, for example, 385164 + ... + 627084.

It is an arithmetic number, because the mean of its divisors is an integer number (4557084714).

Almost surely, 2122442024204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122442024204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164055049704).

122442024204 is an abundant number, since it is smaller than the sum of its proper divisors (205668075204).

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

122442024204 is a wasteful number, since it uses less digits than its factorization.

122442024204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242775 (or 242770 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 122442024204 its reverse (402420244221), we get a palindrome (524862268425).

The spelling of 122442024204 in words is "one hundred twenty-two billion, four hundred forty-two million, twenty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 827 1654 2481 3308 4962 7443 9924 14059 14886 28118 29772 42177 56236 84354 126531 168708 241921 253062 483842 506124 725763 967684 1451526 2177289 2903052 4112657 4354578 8225314 8709156 12337971 16450628 24675942 37013913 49351884 74027826 148055652 200068667 400137334 600206001 800274668 1200412002 1800618003 2400824004 3401167339 3601236006 6802334678 7202472012 10203502017 13604669356 20407004034 30610506051 40814008068 61221012102 122442024204