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12042142032 = 24317127116201
BaseRepresentation
bin10110011011100010…
…01000000101010000
31011002020102012100110
423031301020011100
5144130242021112
65310532521320
7604262342544
oct131561100520
934066365313
1012042142032
11511a5255a8
122400a80240
13119bacb33b
1482346ba24
154a72e713c
hex2cdc48150

12042142032 has 80 divisors (see below), whose sum is σ = 33198446592. Its totient is φ = 3748147200.

The previous prime is 12042142027. The next prime is 12042142061. The reversal of 12042142032 is 23024124021.

It is a super-2 number, since 2×120421420322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45532 + ... + 161732.

Almost surely, 212042142032 is an apocalyptic number.

12042142032 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 12042142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16599223296).

12042142032 is an abundant number, since it is smaller than the sum of its proper divisors (21156304560).

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

12042142032 is a wasteful number, since it uses less digits than its factorization.

12042142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116356 (or 116350 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12042142032 its reverse (23024124021), we get a palindrome (35066266053).

The spelling of 12042142032 in words is "twelve billion, forty-two million, one hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 127 136 204 254 272 381 408 508 762 816 1016 1524 2032 2159 3048 4318 6096 6477 8636 12954 17272 25908 34544 51816 103632 116201 232402 348603 464804 697206 929608 1394412 1859216 1975417 2788824 3950834 5577648 5926251 7901668 11852502 14757527 15803336 23705004 29515054 31606672 44272581 47410008 59030108 88545162 94820016 118060216 177090324 236120432 250877959 354180648 501755918 708361296 752633877 1003511836 1505267754 2007023672 3010535508 4014047344 6021071016 12042142032