120277741440 has 128 divisors (see below), whose sum is σ = 384008457600. Its totient is φ = 32021932032.

The previous prime is 120277741393. The next prime is 120277741481. The reversal of 120277741440 is 44147772021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137879 + ... + 1239081.

It is an arithmetic number, because the mean of its divisors is an integer number (3000066075).

Almost surely, 2^120277741440 is an apocalyptic number.

120277741440 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 120277741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192004228800).

120277741440 is an abundant number, since it is smaller than the sum of its proper divisors (263730716160).

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

120277741440 is a wasteful number, since it uses less digits than its factorization.

120277741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101844 (or 101832 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The spelling of 120277741440 in words is "one hundred twenty billion, two hundred seventy-seven million, seven hundred forty-one thousand, four hundred forty".