1121610552335 has 256 divisors, whose sum is σ = 1793453211648. Its totient is φ = 654726758400.

The previous prime is 1121610552331. The next prime is 1121610552397. The reversal of 1121610552335 is 5332550161211.

It is not a de Polignac number, because 1121610552335 - 2² = 1121610552331 is a prime.

It is a super-2 number, since 2×1121610552335² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 1121610552295 and 1121610552304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121610552331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3583420139 + ... + 3583420451.

It is an arithmetic number, because the mean of its divisors is an integer number (7005676608).

Almost surely, 2^{1121610552335} is an apocalyptic number.

1121610552335 is a deficient number, since it is larger than the sum of its proper divisors (671842659313).

1121610552335 is a wasteful number, since it uses less digits than its factorization.

1121610552335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554.

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 1121610552335 in words is "one trillion, one hundred twenty-one billion, six hundred ten million, five hundred fifty-two thousand, three hundred thirty-five".