120777657215740 has 144 divisors (see below), whose sum is σ = 300699899670240. Its totient is φ = 40618542182400.

The previous prime is 120777657215717. The next prime is 120777657215741. The reversal of 120777657215740 is 47512756777021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120777657215741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24138340 + ... + 28709140.

It is an arithmetic number, because the mean of its divisors is an integer number (2088193747710).

Almost surely, 2^{120777657215740} is an apocalyptic number.

120777657215740 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 120777657215740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150349949835120).

120777657215740 is an abundant number, since it is smaller than the sum of its proper divisors (179922242454500).

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

120777657215740 is a wasteful number, since it uses less digits than its factorization.

120777657215740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4571340 (or 4571331 counting only the distinct ones).

The product of its (nonzero) digits is 40336800, while the sum is 61.

The spelling of 120777657215740 in words is "one hundred twenty trillion, seven hundred seventy-seven billion, six hundred fifty-seven million, two hundred fifteen thousand, seven hundred forty".