120220212112000 has 1536 divisors, whose sum is σ = 421952175590400. Its totient is φ = 33083854848000.

The previous prime is 120220212111983. The next prime is 120220212112031. The reversal of 120220212112000 is 211212022021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4052033166 + ... + 4052062834.

It is an arithmetic number, because the mean of its divisors is an integer number (274708447650).

Almost surely, 2^{120220212112000} is an apocalyptic number.

120220212112000 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 120220212112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210976087795200).

120220212112000 is an abundant number, since it is smaller than the sum of its proper divisors (301731963478400).

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

120220212112000 is a wasteful number, since it uses less digits than its factorization.

120220212112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29763 (or 29730 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120220212112000 its reverse (211212022021), we get a palindrome (120431424134021).

The spelling of 120220212112000 in words is "one hundred twenty trillion, two hundred twenty billion, two hundred twelve million, one hundred twelve thousand".