1952120000 has 140 divisors (see below), whose sum is σ = 4975219920. Its totient is φ = 759168000.

The previous prime is 1952119999. The next prime is 1952120011. The reversal of 1952120000 is 212591.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1479341 + ... + 1480659.

Almost surely, 2^1952120000 is an apocalyptic number.

1952120000 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 1952120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487609960).

1952120000 is an abundant number, since it is smaller than the sum of its proper divisors (3023099920).

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

1952120000 is an equidigital number, since it uses as much as digits as its factorization.

1952120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1952120000 is about 44182.8020840689. The cubic root of 1952120000 is about 1249.7855632156.

Adding to 1952120000 its reverse (212591), we get a palindrome (1952332591).

The spelling of 1952120000 in words is "one billion, nine hundred fifty-two million, one hundred twenty thousand".