1201932000 has 384 divisors, whose sum is σ = 4528742400. Its totient is φ = 309312000.

The previous prime is 1201931989. The next prime is 1201932023. The reversal of 1201932000 is 2391021.

It is a happy number.

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

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, 3347821 + ... + 3348179.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^1201932000 is an apocalyptic number.

1201932000 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 1201932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1201932000 is an abundant number, since it is smaller than the sum of its proper divisors (3326810400).

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

1201932000 is a wasteful number, since it uses less digits than its factorization.

1201932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1201932000 is about 34668.8909542835. The cubic root of 1201932000 is about 1063.2285568307.

The spelling of 1201932000 in words is "one billion, two hundred one million, nine hundred thirty-two thousand".