122112121000 has 64 divisors (see below), whose sum is σ = 285824448000. Its totient is φ = 48830817600.

The previous prime is 122112120983. The next prime is 122112121037. The reversal of 122112121000 is 121211221.

It is a super-2 number, since 2×122112121000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3903421 + ... + 3934579.

It is an arithmetic number, because the mean of its divisors is an integer number (4466007000).

Almost surely, 2^122112121000 is an apocalyptic number.

122112121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112121000 is an abundant number, since it is smaller than the sum of its proper divisors (163712327000).

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

122112121000 is a wasteful number, since it uses less digits than its factorization.

122112121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35099 (or 35085 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122112121000 its reverse (121211221), we get a palindrome (122233332221).

The spelling of 122112121000 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand".