1142212120413 has 128 divisors (see below), whose sum is σ = 1968314880000. Its totient is φ = 585018153216.

The previous prime is 1142212120327. The next prime is 1142212120417. The reversal of 1142212120413 is 3140212122411.

It is not a de Polignac number, because 1142212120413 - 2¹⁶ = 1142212054877 is a prime.

It is a super-2 number, since 2×1142212120413² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142212120417) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 278654238 + ... + 278658336.

It is an arithmetic number, because the mean of its divisors is an integer number (15377460000).

Almost surely, 2^{1142212120413} is an apocalyptic number.

1142212120413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1142212120413 is a deficient number, since it is larger than the sum of its proper divisors (826102759587).

1142212120413 is a wasteful number, since it uses less digits than its factorization.

1142212120413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1142212120413 its reverse (3140212122411), we get a palindrome (4282424242824).

The spelling of 1142212120413 in words is "one trillion, one hundred forty-two billion, two hundred twelve million, one hundred twenty thousand, four hundred thirteen".