1012112001220 has 24 divisors (see below), whose sum is σ = 2160278405208. Its totient is φ = 398208000000.

The previous prime is 1012112001113. The next prime is 1012112001221. The reversal of 1012112001220 is 221002112101.

It can be written as a sum of positive squares in 4 ways, for example, as 154428564676 + 857683436544 = 392974^2 + 926112^2 .

It is a super-3 number, since 3×1012112001220³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1012112001220.

It is not an unprimeable number, because it can be changed into a prime (1012112001221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 414798781 + ... + 414801220.

It is an arithmetic number, because the mean of its divisors is an integer number (90011600217).

Almost surely, 2^{1012112001220} is an apocalyptic number.

1012112001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012112001220 is an abundant number, since it is smaller than the sum of its proper divisors (1148166403988).

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

1012112001220 is a wasteful number, since it uses less digits than its factorization.

1012112001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829600071 (or 829600069 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012112001220 its reverse (221002112101), we get a palindrome (1233114113321).

The spelling of 1012112001220 in words is "one trillion, twelve billion, one hundred twelve million, one thousand, two hundred twenty".