10772123000 has 64 divisors (see below), whose sum is σ = 25224264000. Its totient is φ = 4305859200.

The previous prime is 10772122969. The next prime is 10772123081. The reversal of 10772123000 is 32127701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1946237 + ... + 1951763.

It is an arithmetic number, because the mean of its divisors is an integer number (394129125).

Almost surely, 2^10772123000 is an apocalyptic number.

10772123000 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 10772123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12612132000).

10772123000 is an abundant number, since it is smaller than the sum of its proper divisors (14452141000).

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

10772123000 is a wasteful number, since it uses less digits than its factorization.

10772123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7497 (or 7483 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The spelling of 10772123000 in words is "ten billion, seven hundred seventy-two million, one hundred twenty-three thousand".