80070120000 has 700 divisors, whose sum is σ = 319579323756. Its totient is φ = 19699200000.

The previous prime is 80070119947. The next prime is 80070120019. The reversal of 80070120000 is 2107008.

It can be written as a sum of positive squares in 10 ways, for example, as 79781391936 + 288728064 = 282456^2 + 16992^2 .

It is a super-2 number, since 2×80070120000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 42119050 + ... + 42120950.

Almost surely, 2^80070120000 is an apocalyptic number.

80070120000 is a gapful number since it is divisible by the number (80) 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 80070120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159789661878).

80070120000 is an abundant number, since it is smaller than the sum of its proper divisors (239509203756).

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

80070120000 is a wasteful number, since it uses less digits than its factorization.

80070120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 80070120000 its reverse (2107008), we get a palindrome (80072227008).

The spelling of 80070120000 in words is "eighty billion, seventy million, one hundred twenty thousand".