1121011697520 has 1920 divisors, whose sum is σ = 4961922416640. Its totient is φ = 228527308800.

The previous prime is 1121011697501. The next prime is 1121011697569. The reversal of 1121011697520 is 257961101211.

1121011697520 is a `hidden beast` number, since 1 + 1 + 2 + 10 + 116 + 9 + 7 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8826863697 + ... + 8826863823.

It is an arithmetic number, because the mean of its divisors is an integer number (2584334592).

Almost surely, 2^{1121011697520} is an apocalyptic number.

1121011697520 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 1121011697520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480961208320).

1121011697520 is an abundant number, since it is smaller than the sum of its proper divisors (3840910719120).

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

1121011697520 is a wasteful number, since it uses less digits than its factorization.

1121011697520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

Adding to 1121011697520 its reverse (257961101211), we get a palindrome (1378972798731).

The spelling of 1121011697520 in words is "one trillion, one hundred twenty-one billion, eleven million, six hundred ninety-seven thousand, five hundred twenty".