120968400 has 120 divisors (see below), whose sum is σ = 442890304. Its totient is φ = 27648000.

The previous prime is 120968381. The next prime is 120968401. The reversal of 120968400 is 4869021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120968401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1200 + ... + 15600.

Almost surely, 2^120968400 is an apocalyptic number.

120968400 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 120968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221445152).

120968400 is an abundant number, since it is smaller than the sum of its proper divisors (321921904).

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

120968400 is a wasteful number, since it uses less digits than its factorization.

120968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14429 (or 14418 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 120968400 is about 10998.5635425723. The cubic root of 120968400 is about 494.5656837268.

It can be divided in two parts, 12096 and 8400, that multiplied together give a square (101606400 = 10080²).

The spelling of 120968400 in words is "one hundred twenty million, nine hundred sixty-eight thousand, four hundred".