120210202211120 has 400 divisors, whose sum is σ = 346714099056000. Its totient is φ = 38623791661056.

The previous prime is 120210202211111. The next prime is 120210202211179. The reversal of 120210202211120 is 21112202012021.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 760749881 + ... + 760907879.

It is an arithmetic number, because the mean of its divisors is an integer number (866785247640).

Almost surely, 2^{120210202211120} is an apocalyptic number.

120210202211120 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 120210202211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173357049528000).

120210202211120 is an abundant number, since it is smaller than the sum of its proper divisors (226503896844880).

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

120210202211120 is a wasteful number, since it uses less digits than its factorization.

120210202211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158290 (or 158263 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 120210202211120 its reverse (21112202012021), we get a palindrome (141322404223141).

The spelling of 120210202211120 in words is "one hundred twenty trillion, two hundred ten billion, two hundred two million, two hundred eleven thousand, one hundred twenty".