1126406607601 has 32 divisors (see below), whose sum is σ = 1253406389760. Its totient is φ = 1003711094400.

The previous prime is 1126406607593. The next prime is 1126406607607. The reversal of 1126406607601 is 1067066046211.

It is a cyclic number.

It is not a de Polignac number, because 1126406607601 - 2³ = 1126406607593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1126406607607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334144446 + ... + 334147816.

It is an arithmetic number, because the mean of its divisors is an integer number (39168949680).

Almost surely, 2^{1126406607601} is an apocalyptic number.

1126406607601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1126406607601 is a deficient number, since it is larger than the sum of its proper divisors (126999782159).

1126406607601 is a wasteful number, since it uses less digits than its factorization.

1126406607601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6237.

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 1126406607601 in words is "one trillion, one hundred twenty-six billion, four hundred six million, six hundred seven thousand, six hundred one".