1102353531120 has 240 divisors, whose sum is σ = 4033488849120. Its totient is φ = 276668964864.

The previous prime is 1102353531109. The next prime is 1102353531127. The reversal of 1102353531120 is 211353532011.

1102353531120 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 3 + 5 + 3 + 531 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102353531127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258717 + ... + 1507196.

It is an arithmetic number, because the mean of its divisors is an integer number (16806203538).

Almost surely, 2^{1102353531120} is an apocalyptic number.

1102353531120 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 1102353531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016744424560).

1102353531120 is an abundant number, since it is smaller than the sum of its proper divisors (2931135318000).

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

1102353531120 is a wasteful number, since it uses less digits than its factorization.

1102353531120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765969 (or 1765940 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 1102353531120 in words is "one trillion, one hundred two billion, three hundred fifty-three million, five hundred thirty-one thousand, one hundred twenty".