1200142609360 has 80 divisors (see below), whose sum is σ = 3026529070992. Its totient is φ = 440798412800.

The previous prime is 1200142609271. The next prime is 1200142609399. The reversal of 1200142609360 is 639062410021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 380190627216 + 819951982144 = 616596^2 + 905512^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 10705921 + ... + 10817440.

Almost surely, 2^{1200142609360} is an apocalyptic number.

1200142609360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200142609360 is an abundant number, since it is smaller than the sum of its proper divisors (1826386461632).

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

1200142609360 is a wasteful number, since it uses less digits than its factorization.

1200142609360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21523432 (or 21523426 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 1200142609360 in words is "one trillion, two hundred billion, one hundred forty-two million, six hundred nine thousand, three hundred sixty".