120210222010120 has 256 divisors, whose sum is σ = 299759201280000. Its totient is φ = 43022978918400.

The previous prime is 120210222010103. The next prime is 120210222010121. The reversal of 120210222010120 is 21010222012021.

It is a happy number.

It is a super-3 number, since 3×120210222010120³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120210222010094 and 120210222010103.

It is not an unprimeable number, because it can be changed into a prime (120210222010121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8404538889 + ... + 8404553191.

It is an arithmetic number, because the mean of its divisors is an integer number (1170934380000).

Almost surely, 2^{120210222010120} is an apocalyptic number.

120210222010120 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 120210222010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149879600640000).

120210222010120 is an abundant number, since it is smaller than the sum of its proper divisors (179548979269880).

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

120210222010120 is a wasteful number, since it uses less digits than its factorization.

120210222010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15644 (or 15640 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120210222010120 its reverse (21010222012021), we get a palindrome (141220444022141).

The spelling of 120210222010120 in words is "one hundred twenty trillion, two hundred ten billion, two hundred twenty-two million, ten thousand, one hundred twenty".