120142770000 has 200 divisors, whose sum is σ = 423095940960. Its totient is φ = 29125440000.

The previous prime is 120142769959. The next prime is 120142770023. The reversal of 120142770000 is 77241021.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 147966 + ... + 512034.

Almost surely, 2^120142770000 is an apocalyptic number.

120142770000 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 120142770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211547970480).

120142770000 is an abundant number, since it is smaller than the sum of its proper divisors (302953170960).

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

120142770000 is a wasteful number, since it uses less digits than its factorization.

120142770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364111 (or 364090 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The spelling of 120142770000 in words is "one hundred twenty billion, one hundred forty-two million, seven hundred seventy thousand".