1122515291952 has 240 divisors, whose sum is σ = 3373307889120. Its totient is φ = 347394355200.

The previous prime is 1122515291941. The next prime is 1122515291959. The reversal of 1122515291952 is 2591925152211.

1122515291952 is a `hidden beast` number, since 1 + 1 + 22 + 51 + 529 + 1 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1122515291898 and 1122515291907.

It is not an unprimeable number, because it can be changed into a prime (1122515291959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46218052 + ... + 46242332.

It is an arithmetic number, because the mean of its divisors is an integer number (14055449538).

Almost surely, 2^{1122515291952} is an apocalyptic number.

1122515291952 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 1122515291952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686653944560).

1122515291952 is an abundant number, since it is smaller than the sum of its proper divisors (2250792597168).

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

1122515291952 is a wasteful number, since it uses less digits than its factorization.

1122515291952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24652 (or 24643 counting only the distinct ones).

The product of its digits is 162000, while the sum is 45.

The spelling of 1122515291952 in words is "one trillion, one hundred twenty-two billion, five hundred fifteen million, two hundred ninety-one thousand, nine hundred fifty-two".