120151044939744 has 1152 divisors, whose sum is σ = 452931641809920. Its totient is φ = 30484734787584.

The previous prime is 120151044939721. The next prime is 120151044939811. The reversal of 120151044939744 is 447939440151021.

120151044939744 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 5 + 104 + 493 + 9 + 7 + 44 = 666.

It is a super-2 number, since 2×120151044939744² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2330153707 + ... + 2330205269.

It is an arithmetic number, because the mean of its divisors is an integer number (393169827960).

Almost surely, 2^{120151044939744} is an apocalyptic number.

120151044939744 is a gapful number since it is divisible by the number (14) 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 120151044939744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226465820904960).

120151044939744 is an abundant number, since it is smaller than the sum of its proper divisors (332780596870176).

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

120151044939744 is a wasteful number, since it uses less digits than its factorization.

120151044939744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51734 (or 51714 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 120151044939744 in words is "one hundred twenty trillion, one hundred fifty-one billion, forty-four million, nine hundred thirty-nine thousand, seven hundred forty-four".