120561149184 has 432 divisors, whose sum is σ = 382519065600. Its totient is φ = 33603268608.

The previous prime is 120561149089. The next prime is 120561149227. The reversal of 120561149184 is 481941165021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318103107 + ... + 318103485.

It is an arithmetic number, because the mean of its divisors is an integer number (885460800).

Almost surely, 2^120561149184 is an apocalyptic number.

120561149184 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 120561149184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191259532800).

120561149184 is an abundant number, since it is smaller than the sum of its proper divisors (261957916416).

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

120561149184 is a wasteful number, since it uses less digits than its factorization.

120561149184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

It can be divided in two parts, 120561 and 149184, that added together give a triangular number (269745 = T₇₃₄).

The spelling of 120561149184 in words is "one hundred twenty billion, five hundred sixty-one million, one hundred forty-nine thousand, one hundred eighty-four".