1000012120020 has 72 divisors (see below), whose sum is σ = 3037294672776. Its totient is φ = 266324881152.

The previous prime is 1000012119991. The next prime is 1000012120057. The reversal of 1000012120020 is 200212100001.

It can be written as a sum of positive squares in 4 ways, for example, as 75495255696 + 924516864324 = 274764^2 + 961518^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000012119984 and 1000012120011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3454407 + ... + 3732686.

It is an arithmetic number, because the mean of its divisors is an integer number (42184648233).

Almost surely, 2^{1000012120020} is an apocalyptic number.

1000012120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000012120020 is an abundant number, since it is smaller than the sum of its proper divisors (2037282552756).

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

1000012120020 is a wasteful number, since it uses less digits than its factorization.

1000012120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7187881 (or 7187876 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000012120020 its reverse (200212100001), we get a palindrome (1200224220021).

The spelling of 1000012120020 in words is "one trillion, twelve million, one hundred twenty thousand, twenty".