120133051387440 has 1280 divisors, whose sum is σ = 502889493012480. Its totient is φ = 23024776642560.

The previous prime is 120133051387429. The next prime is 120133051387507. The reversal of 120133051387440 is 44783150331021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 120133051387392 and 120133051387401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 888536484 + ... + 888671676.

It is an arithmetic number, because the mean of its divisors is an integer number (392882416416).

Almost surely, 2^{120133051387440} is an apocalyptic number.

120133051387440 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 120133051387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251444746506240).

120133051387440 is an abundant number, since it is smaller than the sum of its proper divisors (382756441625040).

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

120133051387440 is a wasteful number, since it uses less digits than its factorization.

120133051387440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135342 (or 135336 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 120133051387440 in words is "one hundred twenty trillion, one hundred thirty-three billion, fifty-one million, three hundred eighty-seven thousand, four hundred forty".