282092970120 has 256 divisors, whose sum is σ = 928065600000. Its totient is φ = 68171120640.

The previous prime is 282092970097. The next prime is 282092970127. The reversal of 282092970120 is 21079290282.

It is a super-2 number, since 2×282092970120² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (282092970127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 56427381 + ... + 56432379.

It is an arithmetic number, because the mean of its divisors is an integer number (3625256250).

Almost surely, 2^282092970120 is an apocalyptic number.

282092970120 is a gapful number since it is divisible by the number (20) 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 282092970120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464032800000).

282092970120 is an abundant number, since it is smaller than the sum of its proper divisors (645972629880).

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

282092970120 is a wasteful number, since it uses less digits than its factorization.

282092970120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 282092970120 in words is "two hundred eighty-two billion, ninety-two million, nine hundred seventy thousand, one hundred twenty".