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12221986749840 = 24335729123122643
BaseRepresentation
bin1011000111011010011100…
…1011011011110110010000
31121021102002021022101222000
42301312213023123312100
53100221112101443330
641554411520314000
72401003140161010
oct261664713336620
947242067271860
1012221986749840
11399235199163a
121454852772900
136a86b3ba19ba
14303793b91c40
15162dc6757560
hexb1da72dbd90

12221986749840 has 640 divisors, whose sum is σ = 49813611724800. Its totient is φ = 2694955898880.

The previous prime is 12221986749839. The next prime is 12221986749877. The reversal of 12221986749840 is 4894768912221.

12221986749840 is a `hidden beast` number, since 1 + 2 + 2 + 21 + 9 + 86 + 7 + 498 + 40 = 666.

It is a super-2 number, since 2×122219867498402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 539757559 + ... + 539780201.

It is an arithmetic number, because the mean of its divisors is an integer number (77833768320).

Almost surely, 212221986749840 is an apocalyptic number.

12221986749840 is a gapful number since it is divisible by the number (10) 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 12221986749840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24906805862400).

12221986749840 is an abundant number, since it is smaller than the sum of its proper divisors (37591624974960).

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

12221986749840 is a wasteful number, since it uses less digits than its factorization.

12221986749840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23932 (or 23920 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 12221986749840 in words is "twelve trillion, two hundred twenty-one billion, nine hundred eighty-six million, seven hundred forty-nine thousand, eight hundred forty".