1124632252800 has 2880 divisors, whose sum is σ = 5352724412640. Its totient is φ = 226934784000.

The previous prime is 1124632252697. The next prime is 1124632252801. The reversal of 1124632252800 is 82522364211.

1124632252800 is a `hidden beast` number, since 1 + 12 + 4 + 632 + 2 + 5 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124632252801) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 11134972750 + ... + 11134972850.

Almost surely, 2^{1124632252800} is an apocalyptic number.

1124632252800 is a gapful number since it is divisible by the number (10) 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 1124632252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676362206320).

1124632252800 is an abundant number, since it is smaller than the sum of its proper divisors (4228092159840).

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

1124632252800 is a wasteful number, since it uses less digits than its factorization.

1124632252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

It can be divided in two parts, 112463225 and 2800, that added together give a square (112466025 = 10605²).

The spelling of 1124632252800 in words is "one trillion, one hundred twenty-four billion, six hundred thirty-two million, two hundred fifty-two thousand, eight hundred".