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12042264900 = 2235240140883
BaseRepresentation
bin10110011011100011…
…00110000101000100
31011002020122102220010
423031301212011010
5144130304434100
65310535310220
7604263364011
oct131561460504
934066572803
1012042264900
11511a5a9946
122400b1b370
13119bb42243
148234a0708
154a731d750
hex2cdc66144

12042264900 has 36 divisors (see below), whose sum is σ = 34842287312. Its totient is φ = 3211270560.

The previous prime is 12042264889. The next prime is 12042264931. The reversal of 12042264900 is 946224021.

It is a super-2 number, since 2×120422649002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20070142 + ... + 20070741.

Almost surely, 212042264900 is an apocalyptic number.

12042264900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12042264900 is an abundant number, since it is smaller than the sum of its proper divisors (22800022412).

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

12042264900 is a wasteful number, since it uses less digits than its factorization.

12042264900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40140900 (or 40140893 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 12042264900 its reverse (946224021), we get a palindrome (12988488921).

The spelling of 12042264900 in words is "twelve billion, forty-two million, two hundred sixty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 40140883 80281766 120422649 160563532 200704415 240845298 401408830 481690596 602113245 802817660 1003522075 1204226490 2007044150 2408452980 3010566225 4014088300 6021132450 12042264900