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12011999984 = 2429137233811
BaseRepresentation
bin10110010111111100…
…01001001011110000
31011000010200211020022
423023332021023300
5144100032444414
65303534503012
7603445213055
oct131376111360
934003624208
1012011999984
115104508416
1223b2964a68
1311957a67ca
1481d46302c
154a484118e
hex2cbf892f0

12011999984 has 80 divisors (see below), whose sum is σ = 24385626720. Its totient is φ = 5724794880.

The previous prime is 12011999983. The next prime is 12012000031. The reversal of 12011999984 is 48999911021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011999983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14810939 + ... + 14811749.

It is an arithmetic number, because the mean of its divisors is an integer number (304820334).

Almost surely, 212011999984 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 12011999984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192813360).

12011999984 is an abundant number, since it is smaller than the sum of its proper divisors (12373626736).

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

12011999984 is a wasteful number, since it uses less digits than its factorization.

12011999984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 53.

The spelling of 12011999984 in words is "twelve billion, eleven million, nine hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 116 137 232 233 274 464 466 548 811 932 1096 1622 1864 2192 3244 3728 3973 6488 6757 7946 12976 13514 15892 23519 27028 31784 31921 47038 54056 63568 63842 94076 108112 111107 127684 188152 188963 222214 255368 376304 377926 444428 510736 755852 888856 925709 1511704 1777712 1851418 3023408 3222103 3702836 5479927 6444206 7405672 10959854 12888412 14811344 21919708 25776824 25887931 43839416 51553648 51775862 87678832 103551724 207103448 414206896 750749999 1501499998 3002999996 6005999992 12011999984