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12013200410004 = 2232462172213809
BaseRepresentation
bin1010111011010000101010…
…0010110000010110010100
31120112110011120222102002200
42232310022202300112110
53033311013301110004
641314442120404500
72346632206442613
oct256641242602624
946473146872080
1012013200410004
1139118514a2262
1214202a4616730
13691abc460391
142d7628bd587a
1515c756c5d239
hexaed0a8b0594

12013200410004 has 36 divisors (see below), whose sum is σ = 30373272913620. Its totient is φ = 4003533515520.

The previous prime is 12013200409997. The next prime is 12013200410021. The reversal of 12013200410004 is 40001400231021.

12013200410004 is a `hidden beast` number, since 120 + 132 + 0 + 0 + 410 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2829864128400 + 9183336281604 = 1682220^2 + 3030402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35940549 + ... + 36273260.

Almost surely, 212013200410004 is an apocalyptic number.

It is an amenable number.

12013200410004 is an abundant number, since it is smaller than the sum of its proper divisors (18360072503616).

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

12013200410004 is a wasteful number, since it uses less digits than its factorization.

12013200410004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72218440 (or 72218435 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12013200410004 its reverse (40001400231021), we get a palindrome (52014600641025).

The spelling of 12013200410004 in words is "twelve trillion, thirteen billion, two hundred million, four hundred ten thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 4621 9242 13863 18484 27726 41589 55452 83178 166356 72213809 144427618 216641427 288855236 433282854 649924281 866565708 1299848562 2599697124 333700011389 667400022778 1001100034167 1334800045556 2002200068334 3003300102501 4004400136668 6006600205002 12013200410004