121112212320 has 576 divisors, whose sum is σ = 461450545920. Its totient is φ = 28679270400.

The previous prime is 121112212289. The next prime is 121112212321. The reversal of 121112212320 is 23212211121.

121112212320 is a `hidden beast` number, since 1 + 21 + 112 + 212 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121112212293 and 121112212302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112212321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147517510 + ... + 147518330.

It is an arithmetic number, because the mean of its divisors is an integer number (801129420).

Almost surely, 2^121112212320 is an apocalyptic number.

121112212320 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 121112212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230725272960).

121112212320 is an abundant number, since it is smaller than the sum of its proper divisors (340338333600).

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

121112212320 is a wasteful number, since it uses less digits than its factorization.

121112212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121112212320 its reverse (23212211121), we get a palindrome (144324423441).

The spelling of 121112212320 in words is "one hundred twenty-one billion, one hundred twelve million, two hundred twelve thousand, three hundred twenty".