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12021002210000 = 245472361122401
BaseRepresentation
bin1010111011101101101110…
…0100010000101011010000
31120120012022022102220201002
42232323123210100223100
53033423003031210000
641322212220201132
72350326432603320
oct256733344205320
946505268386632
1012021002210000
1139150953a7053
1214219013991a8
136927638c9594
142d7b69029280
1515ca61b578d5
hexaeedb910ad0

12021002210000 has 400 divisors, whose sum is σ = 35277204281088. Its totient is φ = 3877632000000.

The previous prime is 12021002209999. The next prime is 12021002210047. The reversal of 12021002210000 is 1220012021.

It is a happy number.

12021002210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98148800 + ... + 98271200.

Almost surely, 212021002210000 is an apocalyptic number.

12021002210000 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 12021002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17638602140544).

12021002210000 is an abundant number, since it is smaller than the sum of its proper divisors (23256202071088).

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

12021002210000 is a wasteful number, since it uses less digits than its factorization.

12021002210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122520 (or 122499 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12021002210000 its reverse (1220012021), we get a palindrome (12022222222021).

The spelling of 12021002210000 in words is "twelve trillion, twenty-one billion, two million, two hundred ten thousand".