120220220120100 has 288 divisors, whose sum is σ = 352857838569600. Its totient is φ = 31599892316160.

The previous prime is 120220220120089. The next prime is 120220220120101. The reversal of 120220220120100 is 1021022022021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120220220120100.

It is not an unprimeable number, because it can be changed into a prime (120220220120101) 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, 4903533042 + ... + 4903557558.

Almost surely, 2^{120220220120100} is an apocalyptic number.

120220220120100 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 120220220120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176428919284800).

120220220120100 is an abundant number, since it is smaller than the sum of its proper divisors (232637618449500).

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

120220220120100 is a wasteful number, since it uses less digits than its factorization.

120220220120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25519 (or 25512 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120220220120100 its reverse (1021022022021), we get a palindrome (121241242142121).

The spelling of 120220220120100 in words is "one hundred twenty trillion, two hundred twenty billion, two hundred twenty million, one hundred twenty thousand, one hundred".