1199953920 has 384 divisors, whose sum is σ = 4330609920. Its totient is φ = 281149440.

The previous prime is 1199953913. The next prime is 1199953939. The reversal of 1199953920 is 293599911.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1199953920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17909727 + ... + 17909793.

It is an arithmetic number, because the mean of its divisors is an integer number (11277630).

Almost surely, 2^1199953920 is an apocalyptic number.

1199953920 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 1199953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165304960).

1199953920 is an abundant number, since it is smaller than the sum of its proper divisors (3130656000).

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

1199953920 is a wasteful number, since it uses less digits than its factorization.

1199953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 48.

The square root of 1199953920 is about 34640.3510374823. The cubic root of 1199953920 is about 1062.6449669788.

The spelling of 1199953920 in words is "one billion, one hundred ninety-nine million, nine hundred fifty-three thousand, nine hundred twenty".