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210021000120012 = 2236773137211112373
BaseRepresentation
bin101111110000001101010011…
…000110111000011011001100
31000112121210220121021221101110
4233300031103012320123030
5210011441002012320022
62022402152052012020
762144342112026604
oct5760152306703314
91015553817257343
10210021000120012
1160a12451371354
121b67b588001010
139025b84071a03
1439c10dbbb7c04
1519431dc95500c
hexbf03531b86cc

210021000120012 has 192 divisors, whose sum is σ = 508138119143424. Its totient is φ = 67483515432960.

The previous prime is 210021000119951. The next prime is 210021000120017.

210021000120012 is nontrivially palindromic in base 10.

210021000120012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 210021000120012.

It is not an unprimeable number, because it can be changed into a prime (210021000120017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16974131058 + ... + 16974143430.

It is an arithmetic number, because the mean of its divisors is an integer number (2646552703872).

Almost surely, 2210021000120012 is an apocalyptic number.

It is an amenable number.

210021000120012 is an abundant number, since it is smaller than the sum of its proper divisors (298117119023412).

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

210021000120012 is a wasteful number, since it uses less digits than its factorization.

210021000120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14768 (or 14766 counting only the distinct ones).

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

It can be divided in two parts, 210021000 and 120012, that added together give a palindrome (210141012).

The spelling of 210021000120012 in words is "two hundred ten trillion, twenty-one billion, one hundred twenty thousand, twelve".