120212022100 has 72 divisors (see below), whose sum is σ = 265458009600. Its totient is φ = 47238355200.

The previous prime is 120212022023. The next prime is 120212022101. The reversal of 120212022100 is 1220212021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212022101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10147981 + ... + 10159819.

It is an arithmetic number, because the mean of its divisors is an integer number (3686916800).

Almost surely, 2^120212022100 is an apocalyptic number.

120212022100 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 120212022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132729004800).

120212022100 is an abundant number, since it is smaller than the sum of its proper divisors (145245987500).

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

120212022100 is a wasteful number, since it uses less digits than its factorization.

120212022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13633 (or 13626 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120212022100 its reverse (1220212021), we get a palindrome (121432234121).

The spelling of 120212022100 in words is "one hundred twenty billion, two hundred twelve million, twenty-two thousand, one hundred".