120978144 has 192 divisors, whose sum is σ = 409812480. Its totient is φ = 34007040.

The previous prime is 120978131. The next prime is 120978161. The reversal of 120978144 is 441879021.

It is a super-2 number, since 2×120978144² = 29271422651369472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120978099 and 120978108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501864 + ... + 502104.

It is an arithmetic number, because the mean of its divisors is an integer number (2134440).

Almost surely, 2^120978144 is an apocalyptic number.

120978144 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 120978144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204906240).

120978144 is an abundant number, since it is smaller than the sum of its proper divisors (288834336).

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

120978144 is a wasteful number, since it uses less digits than its factorization.

120978144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 120978144 is about 10999.0065005890. The cubic root of 120978144 is about 494.5789624525.

The spelling of 120978144 in words is "one hundred twenty million, nine hundred seventy-eight thousand, one hundred forty-four".