1342096763121 has 63 divisors (see below), whose sum is σ = 2036284216603. Its totient is φ = 884158804800.

The previous prime is 1342096763107. The next prime is 1342096763153. The reversal of 1342096763121 is 1213676902431.

The square root of 1342096763121 is 1158489.

It is a perfect power (a square), and thus also a powerful number.

1342096763121 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 0 + 9 + 6 + 7 + 631 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1328742649521 + 13354113600 = 1152711^2 + 115560^2 .

It is not a de Polignac number, because 1342096763121 - 2¹¹ = 1342096761073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1342096763171) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3346874521 + ... + 3346874921.

Almost surely, 2^{1342096763121} is an apocalyptic number.

1342096763121 is the 1158489-th square number.

1342096763121 is the 579245-th centered octagonal number.

It is an amenable number.

1342096763121 is a deficient number, since it is larger than the sum of its proper divisors (694187453482).

1342096763121 is an frugal number, since it uses more digits than its factorization.

1342096763121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1342096763121 in words is "one trillion, three hundred forty-two billion, ninety-six million, seven hundred sixty-three thousand, one hundred twenty-one".