1105218465120 has 432 divisors, whose sum is σ = 4786173454608. Its totient is φ = 229655623680.

The previous prime is 1105218464971. The next prime is 1105218465121. The reversal of 1105218465120 is 215648125011.

1105218465120 is a `hidden beast` number, since 1 + 1 + 0 + 521 + 8 + 4 + 6 + 5 + 120 = 666.

It is a super-2 number, since 2×1105218465120² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105218465121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64182 + ... + 1488138.

It is an arithmetic number, because the mean of its divisors is an integer number (11079105219).

Almost surely, 2^{1105218465120} is an apocalyptic number.

1105218465120 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 1105218465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393086727304).

1105218465120 is an abundant number, since it is smaller than the sum of its proper divisors (3680954989488).

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

1105218465120 is a wasteful number, since it uses less digits than its factorization.

1105218465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424003 (or 1423985 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 1105218465120 in words is "one trillion, one hundred five billion, two hundred eighteen million, four hundred sixty-five thousand, one hundred twenty".