1121353923600 has 945 divisors, whose sum is σ = 4231155583893. Its totient is φ = 285456337920.

The previous prime is 1121353923553. The next prime is 1121353923607. The reversal of 1121353923600 is 63293531211.

The square root of 1121353923600 is 1058940.

It is a perfect power (a square), and thus also a powerful number.

1121353923600 is a `hidden beast` number, since 1 + 1 + 2 + 13 + 5 + 39 + 2 + 3 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 65129081616 + 1056224841984 = 255204^2 + 1027728^2 .

It is a super-2 number, since 2×1121353923600² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1121353923607) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 21157621174 + ... + 21157621226.

Almost surely, 2^{1121353923600} is an apocalyptic number.

1121353923600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1121353923600 is the 1058940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121353923600

1121353923600 is an abundant number, since it is smaller than the sum of its proper divisors (3109801660293).

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

1121353923600 is an frugal number, since it uses more digits than its factorization.

1121353923600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Multiplying 1121353923600 by its sum of digits (36), we get a square (40368741249600 = 6353640²).

1121353923600 divided by its sum of digits (36) gives a square (31148720100 = 176490²).

The spelling of 1121353923600 in words is "one trillion, one hundred twenty-one billion, three hundred fifty-three million, nine hundred twenty-three thousand, six hundred".