10120776120 has 1024 divisors, whose sum is σ = 44416512000. Its totient is φ = 1992646656.

The previous prime is 10120776101. The next prime is 10120776139. The reversal of 10120776120 is 2167702101.

It is an interprime number because it is at equal distance from previous prime (10120776101) and next prime (10120776139).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 151056327 + ... + 151056393.

It is an arithmetic number, because the mean of its divisors is an integer number (43375500).

Almost surely, 2^10120776120 is an apocalyptic number.

10120776120 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 10120776120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22208256000).

10120776120 is an abundant number, since it is smaller than the sum of its proper divisors (34295735880).

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

10120776120 is a wasteful number, since it uses less digits than its factorization.

10120776120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 10120776120 in words is "ten billion, one hundred twenty million, seven hundred seventy-six thousand, one hundred twenty".