120220012123200 has 2016 divisors, whose sum is σ = 498590408171520. Its totient is φ = 28128038400000.

The previous prime is 120220012123177. The next prime is 120220012123243. The reversal of 120220012123200 is 2321210022021.

120220012123200 is a `hidden beast` number, since 1 + 2 + 0 + 220 + 0 + 121 + 2 + 320 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 79563210445 + ... + 79563211955.

It is an arithmetic number, because the mean of its divisors is an integer number (247316670720).

Almost surely, 2^{120220012123200} is an apocalyptic number.

120220012123200 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 120220012123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249295204085760).

120220012123200 is an abundant number, since it is smaller than the sum of its proper divisors (378370396048320).

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

120220012123200 is a wasteful number, since it uses less digits than its factorization.

120220012123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120220012123200 its reverse (2321210022021), we get a palindrome (122541222145221).

The spelling of 120220012123200 in words is "one hundred twenty trillion, two hundred twenty billion, twelve million, one hundred twenty-three thousand, two hundred".