1121265313632 has 144 divisors (see below), whose sum is σ = 3275506346112. Its totient is φ = 363572582400.

The previous prime is 1121265313613. The next prime is 1121265313709. The reversal of 1121265313632 is 2363135621211.

1121265313632 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 2 + 6 + 5 + 3 + 13 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 64428132 + ... + 64445532.

It is an arithmetic number, because the mean of its divisors is an integer number (22746571848).

Almost surely, 2^{1121265313632} is an apocalyptic number.

1121265313632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121265313632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637753173056).

1121265313632 is an abundant number, since it is smaller than the sum of its proper divisors (2154241032480).

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

1121265313632 is a wasteful number, since it uses less digits than its factorization.

1121265313632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23501 (or 23490 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 1121265313632 in words is "one trillion, one hundred twenty-one billion, two hundred sixty-five million, three hundred thirteen thousand, six hundred thirty-two".