1157221248000 has 352 divisors, whose sum is σ = 3883562504640. Its totient is φ = 305849958400.

The previous prime is 1157221247977. The next prime is 1157221248011. The reversal of 1157221248000 is 8421227511.

It is a super-2 number, since 2×1157221248000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43378666 + ... + 43405334.

Almost surely, 2^{1157221248000} is an apocalyptic number.

1157221248000 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 1157221248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941781252320).

1157221248000 is an abundant number, since it is smaller than the sum of its proper divisors (2726341256640).

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

1157221248000 is a wasteful number, since it uses less digits than its factorization.

1157221248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26820 (or 26792 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 1157221248000 in words is "one trillion, one hundred fifty-seven billion, two hundred twenty-one million, two hundred forty-eight thousand".