1101215082240 has 432 divisors, whose sum is σ = 4689345355968. Its totient is φ = 232344059904.

The previous prime is 1101215082223. The next prime is 1101215082269. The reversal of 1101215082240 is 422805121011.

1101215082240 is a `hidden beast` number, since 1 + 10 + 121 + 508 + 2 + 24 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523092 + ... + 1573548.

Almost surely, 2^{1101215082240} is an apocalyptic number.

1101215082240 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 1101215082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344672677984).

1101215082240 is an abundant number, since it is smaller than the sum of its proper divisors (3588130273728).

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

1101215082240 is a wasteful number, since it uses less digits than its factorization.

1101215082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050504 (or 1050487 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 1101215082240 in words is "one trillion, one hundred one billion, two hundred fifteen million, eighty-two thousand, two hundred forty".