120463200 has 540 divisors, whose sum is σ = 518943348. Its totient is φ = 26956800.

The previous prime is 120463199. The next prime is 120463201. The reversal of 120463200 is 2364021.

It is a happy number.

120463200 is a `hidden beast` number, since 1 + 2 + 0 + 463 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (120463199) and next prime (120463201).

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×120463200² = 29022765108480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120463201) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 9266394 + ... + 9266406.

Almost surely, 2^120463200 is an apocalyptic number.

120463200 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 120463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259471674).

120463200 is an abundant number, since it is smaller than the sum of its proper divisors (398480148).

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

120463200 is a wasteful number, since it uses less digits than its factorization.

120463200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120463200 is about 10975.5728779868. The cubic root of 120463200 is about 493.8762386182.

The spelling of 120463200 in words is "one hundred twenty million, four hundred sixty-three thousand, two hundred".