122120211211000 has 128 divisors (see below), whose sum is σ = 287886385949760. Its totient is φ = 48484918272000.

The previous prime is 122120211210947. The next prime is 122120211211003. The reversal of 122120211211000 is 112112021221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120211211003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1074160159 + ... + 1074273841.

Almost surely, 2^{122120211211000} is an apocalyptic number.

122120211211000 is a gapful number since it is divisible by the number (10) 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 122120211211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143943192974880).

122120211211000 is an abundant number, since it is smaller than the sum of its proper divisors (165766174738760).

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

122120211211000 is a wasteful number, since it uses less digits than its factorization.

122120211211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121682 (or 121668 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122120211211000 its reverse (112112021221), we get a palindrome (122232323232221).

The spelling of 122120211211000 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred eleven million, two hundred eleven thousand".