120778124544 has 576 divisors, whose sum is σ = 447532001280. Its totient is φ = 31213486080.

The previous prime is 120778124473. The next prime is 120778124603. The reversal of 120778124544 is 445421877021.

120778124544 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 7 + 81 + 24 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 120778124544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136781127 + ... + 136782009.

It is an arithmetic number, because the mean of its divisors is an integer number (776965280).

Almost surely, 2^120778124544 is an apocalyptic number.

120778124544 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 120778124544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223766000640).

120778124544 is an abundant number, since it is smaller than the sum of its proper divisors (326753876736).

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

120778124544 is a wasteful number, since it uses less digits than its factorization.

120778124544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 120778124544 in words is "one hundred twenty billion, seven hundred seventy-eight million, one hundred twenty-four thousand, five hundred forty-four".