9877212900 has 180 divisors, whose sum is σ = 32884371828. Its totient is φ = 2562658560.

The previous prime is 9877212899. The next prime is 9877212929. The reversal of 9877212900 is 92127789.

9877212900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1506060864 + 8371152036 = 38808^2 + 91494^2 .

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 (45).

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 59 ways as a sum of consecutive naturals, for example, 283222 + ... + 316178.

Almost surely, 2^9877212900 is an apocalyptic number.

9877212900 is a gapful number since it is divisible by the number (90) 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 9877212900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16442185914).

9877212900 is an abundant number, since it is smaller than the sum of its proper divisors (23007158928).

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

9877212900 is a wasteful number, since it uses less digits than its factorization.

9877212900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33020 (or 33004 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 9877212900 is about 99384.1682563174. The cubic root of 9877212900 is about 2145.5804580972.

The spelling of 9877212900 in words is "nine billion, eight hundred seventy-seven million, two hundred twelve thousand, nine hundred".