212112002011000 has 512 divisors, whose sum is σ = 639034838507520. Its totient is φ = 64050877440000.

The previous prime is 212112002010989. The next prime is 212112002011031. The reversal of 212112002011000 is 110200211212.

It is a super-2 number, since 2×212112002011000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 839166637 + ... + 839419363.

It is an arithmetic number, because the mean of its divisors is an integer number (1248114918960).

Almost surely, 2^{212112002011000} is an apocalyptic number.

212112002011000 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 212112002011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319517419253760).

212112002011000 is an abundant number, since it is smaller than the sum of its proper divisors (426922836496520).

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

212112002011000 is a wasteful number, since it uses less digits than its factorization.

212112002011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253192 (or 253178 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212112002011000 its reverse (110200211212), we get a palindrome (212222202222212).

The spelling of 212112002011000 in words is "two hundred twelve trillion, one hundred twelve billion, two million, eleven thousand".