1992211200 has 756 divisors, whose sum is σ = 8587849648. Its totient is φ = 447897600.

The previous prime is 1992211183. The next prime is 1992211211. The reversal of 1992211200 is 21122991.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 32659170 + ... + 32659230.

Almost surely, 2^1992211200 is an apocalyptic number.

1992211200 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 1992211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293924824).

1992211200 is an abundant number, since it is smaller than the sum of its proper divisors (6595638448).

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

1992211200 is an frugal number, since it uses more digits than its factorization.

1992211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1992211200 is about 44634.1931707071. The cubic root of 1992211200 is about 1258.2833766210.

The spelling of 1992211200 in words is "one billion, nine hundred ninety-two million, two hundred eleven thousand, two hundred".