120222010122120 has 512 divisors, whose sum is σ = 434736343641600. Its totient is φ = 29432401920000.

The previous prime is 120222010122091. The next prime is 120222010122121. The reversal of 120222010122120 is 21221010222021.

It is a happy number.

120222010122120 is a `hidden beast` number, since 1 + 202 + 220 + 1 + 0 + 1 + 221 + 20 = 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 = 120222010122093 and 120222010122102.

It is not an unprimeable number, because it can be changed into a prime (120222010122121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6399203367 + ... + 6399222153.

It is an arithmetic number, because the mean of its divisors is an integer number (849094421175).

Almost surely, 2^{120222010122120} is an apocalyptic number.

120222010122120 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 120222010122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217368171820800).

120222010122120 is an abundant number, since it is smaller than the sum of its proper divisors (314514333519480).

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

120222010122120 is a wasteful number, since it uses less digits than its factorization.

120222010122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27366 (or 27356 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120222010122120 its reverse (21221010222021), we get a palindrome (141443020344141).

Subtracting from 120222010122120 its reverse (21221010222021), we obtain a palindrome (99000999900099).

The spelling of 120222010122120 in words is "one hundred twenty trillion, two hundred twenty-two billion, ten million, one hundred twenty-two thousand, one hundred twenty".