1124561972880 has 320 divisors, whose sum is σ = 3914374464000. Its totient is φ = 296725690368.

The previous prime is 1124561972861. The next prime is 1124561972881. The reversal of 1124561972880 is 882791654211.

1124561972880 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 561 + 9 + 72 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1124561972881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197531314 + ... + 197537006.

It is an arithmetic number, because the mean of its divisors is an integer number (12232420200).

Almost surely, 2^{1124561972880} is an apocalyptic number.

1124561972880 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 1124561972880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957187232000).

1124561972880 is an abundant number, since it is smaller than the sum of its proper divisors (2789812491120).

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

1124561972880 is a wasteful number, since it uses less digits than its factorization.

1124561972880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6663 (or 6651 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1124561972880 in words is "one trillion, one hundred twenty-four billion, five hundred sixty-one million, nine hundred seventy-two thousand, eight hundred eighty".