211211112000 has 224 divisors, whose sum is σ = 797051024640. Its totient is φ = 48276787200.

The previous prime is 211211111981. The next prime is 211211112059. The reversal of 211211112000 is 211112112.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×211211112000² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 460605 + ... + 796604.

Almost surely, 2^211211112000 is an apocalyptic number.

211211112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211112000 is an abundant number, since it is smaller than the sum of its proper divisors (585839912640).

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

211211112000 is a wasteful number, since it uses less digits than its factorization.

211211112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257246 (or 1257226 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211211112000 its reverse (211112112), we get a palindrome (211422224112).

The spelling of 211211112000 in words is "two hundred eleven billion, two hundred eleven million, one hundred twelve thousand".