Search a number
-
+
12021120010200 = 23352721018634691
BaseRepresentation
bin1010111011101110001010…
…0101101000011111011000
31120120012121112002210012110
42232323202211220133120
53033423223210311300
641322232025112320
72350332363103200
oct256734245503730
946505545083173
1012021120010200
113915145946094
1214219349286a0
13692782133142
142d7b7a931400
1515ca6c176550
hexaeee29687d8

12021120010200 has 576 divisors, whose sum is σ = 43838906987520. Its totient is φ = 2716748160000.

The previous prime is 12021120010183. The next prime is 12021120010219. The reversal of 12021120010200 is 201002112021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2562589855 + ... + 2562594545.

It is an arithmetic number, because the mean of its divisors is an integer number (76109213520).

Almost surely, 212021120010200 is an apocalyptic number.

12021120010200 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 12021120010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21919453493760).

12021120010200 is an abundant number, since it is smaller than the sum of its proper divisors (31817786977320).

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

12021120010200 is a wasteful number, since it uses less digits than its factorization.

12021120010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12021120010200 its reverse (201002112021), we get a palindrome (12222122122221).

The spelling of 12021120010200 in words is "twelve trillion, twenty-one billion, one hundred twenty million, ten thousand, two hundred".