1205293116144 has 80 divisors (see below), whose sum is σ = 3498978051072. Its totient is φ = 354735093504.

The previous prime is 1205293116127. The next prime is 1205293116151. The reversal of 1205293116144 is 4416113925021.

It is a super-2 number, since 2×1205293116144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41976072 + ... + 42004775.

Almost surely, 2^{1205293116144} is an apocalyptic number.

It is an amenable number.

1205293116144 is an abundant number, since it is smaller than the sum of its proper divisors (2293684934928).

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

1205293116144 is a wasteful number, since it uses less digits than its factorization.

1205293116144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83980894 (or 83980888 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 1205293116144 in words is "one trillion, two hundred five billion, two hundred ninety-three million, one hundred sixteen thousand, one hundred forty-four".