1000392120 has 672 divisors, whose sum is σ = 4320410400. Its totient is φ = 203793408.

The previous prime is 1000392101. The next prime is 1000392139. The reversal of 1000392120 is 212930001.

It is a happy number.

1000392120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1000392101) and next prime (1000392139).

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

It is a junction number, because it is equal to n+sod(n) for n = 1000392093 and 1000392102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 34496266 + ... + 34496294.

Almost surely, 2^1000392120 is an apocalyptic number.

1000392120 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 1000392120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160205200).

1000392120 is an abundant number, since it is smaller than the sum of its proper divisors (3320018280).

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

1000392120 is a wasteful number, since it uses less digits than its factorization.

1000392120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1000392120 is about 31628.9759556012. The cubic root of 1000392120 is about 1000.1306895862.

The spelling of 1000392120 in words is "one billion, three hundred ninety-two thousand, one hundred twenty".