1014121505296 has 45 divisors (see below), whose sum is σ = 1974262724013. Its totient is φ = 504645880320.

The previous prime is 1014121505269. The next prime is 1014121505323. The reversal of 1014121505296 is 6925051214101.

The square root of 1014121505296 is 1007036.

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

It is an interprime number because it is at equal distance from previous prime (1014121505269) and next prime (1014121505323).

It can be written as a sum of positive squares in only one way, i.e., 19554106896 + 994567398400 = 139836^2 + 997280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1091626560 + ... + 1091627488.

Almost surely, 2^{1014121505296} is an apocalyptic number.

1014121505296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1014121505296 is the 1007036-th square number.

It is an amenable number.

1014121505296 is a deficient number, since it is larger than the sum of its proper divisors (960141218717).

1014121505296 is an frugal number, since it uses more digits than its factorization.

1014121505296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 37.

Adding to 1014121505296 its reverse (6925051214101), we get a palindrome (7939172719397).

The spelling of 1014121505296 in words is "one trillion, fourteen billion, one hundred twenty-one million, five hundred five thousand, two hundred ninety-six".