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12404200133000 = 235313954169241
BaseRepresentation
bin1011010010000001001111…
…1100010101000110001000
31121220211102000221100002202
42310200103330111012020
53111212300213224000
642214224425415332
72420113433320154
oct264402374250610
947824360840082
1012404200133000
113a526566642a5
12148402563a548
136bc932252310
1430c51b910064
151679dd422dd5
hexb4813f15188

12404200133000 has 64 divisors (see below), whose sum is σ = 31258584367920. Its totient is φ = 4580012352000.

The previous prime is 12404200132999. The next prime is 12404200133021. The reversal of 12404200133000 is 33100240421.

It can be written as a sum of positive squares in 8 ways, for example, as 883212762436 + 11520987370564 = 939794^2 + 3394258^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477071621 + ... + 477097620.

Almost surely, 212404200133000 is an apocalyptic number.

12404200133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12404200133000 is an abundant number, since it is smaller than the sum of its proper divisors (18854384234920).

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

12404200133000 is a wasteful number, since it uses less digits than its factorization.

12404200133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954169275 (or 954169261 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12404200133000 its reverse (33100240421), we get a palindrome (12437300373421).

The spelling of 12404200133000 in words is "twelve trillion, four hundred four billion, two hundred million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 954169241 1908338482 3816676964 4770846205 7633353928 9541692410 12404200133 19083384820 23854231025 24808400266 38166769640 47708462050 49616800532 62021000665 95416924100 99233601064 119271155125 124042001330 190833848200 238542310250 248084002660 310105003325 477084620500 496168005320 620210006650 954169241000 1240420013300 1550525016625 2480840026600 3101050033250 6202100066500 12404200133000