120200222222310 has 256 divisors, whose sum is σ = 298429971840000. Its totient is φ = 30966784966656.

The previous prime is 120200222222293. The next prime is 120200222222317. The reversal of 120200222222310 is 13222222002021.

It is a super-2 number, since 2×120200222222310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120200222222317) 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, 29686395166 + ... + 29686399214.

It is an arithmetic number, because the mean of its divisors is an integer number (1165742077500).

Almost surely, 2^{120200222222310} is an apocalyptic number.

120200222222310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120200222222310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149214985920000).

120200222222310 is an abundant number, since it is smaller than the sum of its proper divisors (178229749617690).

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

120200222222310 is a wasteful number, since it uses less digits than its factorization.

120200222222310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 120200222222310 its reverse (13222222002021), we get a palindrome (133422444224331).

The spelling of 120200222222310 in words is "one hundred twenty trillion, two hundred billion, two hundred twenty-two million, two hundred twenty-two thousand, three hundred ten".