1220192100 has 180 divisors, whose sum is σ = 3998731044. Its totient is φ = 321822720.

The previous prime is 1220192087. The next prime is 1220192117. The reversal of 1220192100 is 12910221.

It can be written as a sum of positive squares in 6 ways, for example, as 183223296 + 1036968804 = 13536^2 + 32202^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 784924 + ... + 786476.

Almost surely, 2^1220192100 is an apocalyptic number.

1220192100 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 1220192100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999365522).

1220192100 is an abundant number, since it is smaller than the sum of its proper divisors (2778538944).

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

1220192100 is a wasteful number, since it uses less digits than its factorization.

1220192100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1220192100 is about 34931.2481884058. The cubic root of 1220192100 is about 1068.5858104190.

The spelling of 1220192100 in words is "one billion, two hundred twenty million, one hundred ninety-two thousand, one hundred".