Search a number
-
+
12021311400 = 23352719199757
BaseRepresentation
bin10110011001000011…
…01010011110101000
31011000210012220002120
423030201222132220
5144104423431100
65304510231240
7603620314050
oct131441523650
934023186076
1012021311400
1151097981aa
1223b5ab5520
1311976b6b17
148207a8560
154a55800a0
hex2cc86a7a8

12021311400 has 384 divisors, whose sum is σ = 45116160000. Its totient is φ = 2586608640.

The previous prime is 12021311389. The next prime is 12021311459. The reversal of 12021311400 is 411312021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12021311400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15879822 + ... + 15880578.

It is an arithmetic number, because the mean of its divisors is an integer number (117490000).

Almost surely, 212021311400 is an apocalyptic number.

12021311400 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 12021311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22558080000).

12021311400 is an abundant number, since it is smaller than the sum of its proper divisors (33094848600).

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

12021311400 is a wasteful number, since it uses less digits than its factorization.

12021311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12021311400 its reverse (411312021), we get a palindrome (12432623421).

The spelling of 12021311400 in words is "twelve billion, twenty-one million, three hundred eleven thousand, four hundred".