Search a number
-
+
12021252768 = 25357269821
BaseRepresentation
bin10110011001000010…
…11100001010100000
31011000210002220200000
423030201130022200
5144104420042033
65304505100000
7603616651110
oct131441341240
934023086600
1012021252768
115109758148
1223b5a87600
131197696225
14820791040
154a556ca13
hex2cc85c2a0

12021252768 has 288 divisors, whose sum is σ = 40716224640. Its totient is φ = 3417707520.

The previous prime is 12021252743. The next prime is 12021252781. The reversal of 12021252768 is 86725212021.

It is a happy number.

12021252768 is a `hidden beast` number, since 120 + 2 + 1 + 2 + 527 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×120212527682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14641798 + ... + 14642618.

It is an arithmetic number, because the mean of its divisors is an integer number (141375780).

Almost surely, 212021252768 is an apocalyptic number.

12021252768 is a gapful number since it is divisible by the number (18) 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 12021252768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20358112320).

12021252768 is an abundant number, since it is smaller than the sum of its proper divisors (28694971872).

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

12021252768 is an equidigital number, since it uses as much as digits as its factorization.

12021252768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 12021252768 its reverse (86725212021), we get a palindrome (98746464789).

The spelling of 12021252768 in words is "twelve billion, twenty-one million, two hundred fifty-two thousand, seven hundred sixty-eight".