211012122020000 has 240 divisors, whose sum is σ = 593380373648832. Its totient is φ = 72334978560000.

The previous prime is 211012122019987. The next prime is 211012122020059. The reversal of 211012122020000 is 20221210112.

It is a super-2 number, since 2×211012122020000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 862697720 + ... + 862942280.

Almost surely, 2^{211012122020000} is an apocalyptic number.

211012122020000 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 211012122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296690186824416).

211012122020000 is an abundant number, since it is smaller than the sum of its proper divisors (382368251628832).

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

211012122020000 is an equidigital number, since it uses as much as digits as its factorization.

211012122020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250761 (or 250738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211012122020000 its reverse (20221210112), we get a palindrome (211032343230112).

The spelling of 211012122020000 in words is "two hundred eleven trillion, twelve billion, one hundred twenty-two million, twenty thousand".