202212001212000 has 576 divisors, whose sum is σ = 738852836065344. Its totient is φ = 48058842316800.

The previous prime is 202212001211963. The next prime is 202212001212131. The reversal of 202212001212000 is 212100212202.

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

It is a congruent number.

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, 130425352 + ... + 131966648.

It is an arithmetic number, because the mean of its divisors is an integer number (1282730618169).

Almost surely, 2^{202212001212000} is an apocalyptic number.

202212001212000 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 202212001212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369426418032672).

202212001212000 is an abundant number, since it is smaller than the sum of its proper divisors (536640834853344).

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

202212001212000 is a wasteful number, since it uses less digits than its factorization.

202212001212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541396 (or 1541349 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202212001212000 its reverse (212100212202), we get a palindrome (202424101424202).

The spelling of 202212001212000 in words is "two hundred two trillion, two hundred twelve billion, one million, two hundred twelve thousand".