1121300153760 has 192 divisors, whose sum is σ = 3608376532992. Its totient is φ = 292559717376.

The previous prime is 1121300153711. The next prime is 1121300153801. The reversal of 1121300153760 is 673510031211.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 101130937 + ... + 101142023.

It is an arithmetic number, because the mean of its divisors is an integer number (18793627776).

Almost surely, 2^{1121300153760} is an apocalyptic number.

1121300153760 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 1121300153760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804188266496).

1121300153760 is an abundant number, since it is smaller than the sum of its proper divisors (2487076379232).

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

1121300153760 is a wasteful number, since it uses less digits than its factorization.

1121300153760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15635 (or 15627 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

Adding to 1121300153760 its reverse (673510031211), we get a palindrome (1794810184971).

The spelling of 1121300153760 in words is "one trillion, one hundred twenty-one billion, three hundred million, one hundred fifty-three thousand, seven hundred sixty".