1121479632 has 360 divisors, whose sum is σ = 4097987712. Its totient is φ = 278277120.

The previous prime is 1121479631. The next prime is 1121479633. The reversal of 1121479632 is 2369741211.

1121479632 is a `hidden beast` number, since 1 + 1 + 2 + 14 + 7 + 9 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (1121479631) and next prime (1121479633).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121479631) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18384882 + ... + 18384942.

Almost surely, 2^1121479632 is an apocalyptic number.

1121479632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 33488×33489.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121479632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048993856).

1121479632 is an abundant number, since it is smaller than the sum of its proper divisors (2976508080).

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

1121479632 is a wasteful number, since it uses less digits than its factorization.

1121479632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 109 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1121479632 is about 33488.4999962674. The cubic root of 1121479632 is about 1038.9559393932.

The spelling of 1121479632 in words is "one billion, one hundred twenty-one million, four hundred seventy-nine thousand, six hundred thirty-two".