211012120000 has 560 divisors, whose sum is σ = 617022489600. Its totient is φ = 70766080000.

The previous prime is 211012119979. The next prime is 211012120003. The reversal of 211012120000 is 21210112.

211012120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211012120000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211012120003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 293479641 + ... + 293480359.

Almost surely, 2^211012120000 is an apocalyptic number.

211012120000 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 211012120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308511244800).

211012120000 is an abundant number, since it is smaller than the sum of its proper divisors (406010369600).

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

211012120000 is a wasteful number, since it uses less digits than its factorization.

211012120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211012120000 its reverse (21210112), we get a palindrome (211033330112).

The spelling of 211012120000 in words is "two hundred eleven billion, twelve million, one hundred twenty thousand".