1011203121312 has 60 divisors (see below), whose sum is σ = 2973920298426. Its totient is φ = 337067706240.

The previous prime is 1011203121307. The next prime is 1011203121349. The reversal of 1011203121312 is 2131213021101.

1011203121312 is a `hidden beast` number, since 10 + 11 + 20 + 312 + 1 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 978033969936 + 33169151376 = 988956^2 + 182124^2 .

It is a super-2 number, since 2×1011203121312² (a number of 25 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 195059739 + ... + 195064922.

Almost surely, 2^{1011203121312} is an apocalyptic number.

1011203121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011203121312 is an abundant number, since it is smaller than the sum of its proper divisors (1962717177114).

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

1011203121312 is an equidigital number, since it uses as much as digits as its factorization.

1011203121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390124683 (or 390124666 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1011203121312 its reverse (2131213021101), we get a palindrome (3142416142413).

The spelling of 1011203121312 in words is "one trillion, eleven billion, two hundred three million, one hundred twenty-one thousand, three hundred twelve".