1121138161540 has 96 divisors (see below), whose sum is σ = 2625868264320. Its totient is φ = 399589779456.

The previous prime is 1121138161531. The next prime is 1121138161571. The reversal of 1121138161540 is 451618311211.

It is a super-2 number, since 2×1121138161540² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1121138161496 and 1121138161505.

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, 9586659 + ... + 9702901.

It is an arithmetic number, because the mean of its divisors is an integer number (27352794420).

Almost surely, 2^{1121138161540} is an apocalyptic number.

1121138161540 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 1121138161540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312934132160).

1121138161540 is an abundant number, since it is smaller than the sum of its proper divisors (1504730102780).

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

1121138161540 is a wasteful number, since it uses less digits than its factorization.

1121138161540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117781 (or 117779 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The spelling of 1121138161540 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-eight million, one hundred sixty-one thousand, five hundred forty".