1124151542240 has 96 divisors (see below), whose sum is σ = 2716853529600. Its totient is φ = 439356895744.

The previous prime is 1124151542237. The next prime is 1124151542249. The reversal of 1124151542240 is 422451514211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1124151542197 and 1124151542206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124151542249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4379699 + ... + 4629261.

It is an arithmetic number, because the mean of its divisors is an integer number (28300557600).

Almost surely, 2^{1124151542240} is an apocalyptic number.

1124151542240 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 1124151542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358426764800).

1124151542240 is an abundant number, since it is smaller than the sum of its proper divisors (1592701987360).

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

1124151542240 is a wasteful number, since it uses less digits than its factorization.

1124151542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250224 (or 250216 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The spelling of 1124151542240 in words is "one trillion, one hundred twenty-four billion, one hundred fifty-one million, five hundred forty-two thousand, two hundred forty".