120510051224000 has 224 divisors, whose sum is σ = 305029495697472. Its totient is φ = 47151705600000.

The previous prime is 120510051223999. The next prime is 120510051224021. The reversal of 120510051224000 is 422150015021.

It is a super-2 number, since 2×120510051224000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66165530 + ... + 67962470.

It is an arithmetic number, because the mean of its divisors is an integer number (1361738820078).

Almost surely, 2^{120510051224000} is an apocalyptic number.

120510051224000 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 120510051224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152514747848736).

120510051224000 is an abundant number, since it is smaller than the sum of its proper divisors (184519444473472).

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

120510051224000 is a wasteful number, since it uses less digits than its factorization.

120510051224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797152 (or 1797132 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 120510051224000 in words is "one hundred twenty trillion, five hundred ten billion, fifty-one million, two hundred twenty-four thousand".