211122012000 has 96 divisors (see below), whose sum is σ = 691635750624. Its totient is φ = 56299200000.

The previous prime is 211122011963. The next prime is 211122012007. The reversal of 211122012000 is 210221112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122012007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8784751 + ... + 8808750.

It is an arithmetic number, because the mean of its divisors is an integer number (7204539069).

Almost surely, 2^211122012000 is an apocalyptic number.

211122012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122012000 is an abundant number, since it is smaller than the sum of its proper divisors (480513738624).

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

211122012000 is a wasteful number, since it uses less digits than its factorization.

211122012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17593529 (or 17593511 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211122012000 its reverse (210221112), we get a palindrome (211332233112).

The spelling of 211122012000 in words is "two hundred eleven billion, one hundred twenty-two million, twelve thousand".