202010112120000 has 560 divisors, whose sum is σ = 692736776547552. Its totient is φ = 51894374400000.

The previous prime is 202010112119993. The next prime is 202010112120029. The reversal of 202010112120000 is 21211010202.

202010112120000 is digitally balanced in base 2 and base 4, because in such bases 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 448214764 + ... + 448665236.

Almost surely, 2^{202010112120000} is an apocalyptic number.

202010112120000 is a gapful number since it is divisible by the number (20) 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 202010112120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346368388273776).

202010112120000 is an abundant number, since it is smaller than the sum of its proper divisors (490726664427552).

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

202010112120000 is a wasteful number, since it uses less digits than its factorization.

202010112120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450646 (or 450621 counting only the distinct ones).

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

Adding to 202010112120000 its reverse (21211010202), we get a palindrome (202031323130202).

The spelling of 202010112120000 in words is "two hundred two trillion, ten billion, one hundred twelve million, one hundred twenty thousand".