10200612000 has 384 divisors, whose sum is σ = 36546951168. Its totient is φ = 2476032000.

The previous prime is 10200611957. The next prime is 10200612077. The reversal of 10200612000 is 21600201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 6323194 + ... + 6324806.

It is an arithmetic number, because the mean of its divisors is an integer number (95174352).

Almost surely, 2^10200612000 is an apocalyptic number.

10200612000 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 10200612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18273475584).

10200612000 is an abundant number, since it is smaller than the sum of its proper divisors (26346339168).

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

10200612000 is a wasteful number, since it uses less digits than its factorization.

10200612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The spelling of 10200612000 in words is "ten billion, two hundred million, six hundred twelve thousand".