1011121512240 has 320 divisors, whose sum is σ = 3744660326400. Its totient is φ = 220671762432.

The previous prime is 1011121512229. The next prime is 1011121512253. The reversal of 1011121512240 is 422151211101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21963166 + ... + 22009154.

It is an arithmetic number, because the mean of its divisors is an integer number (11702063520).

Almost surely, 2^{1011121512240} is an apocalyptic number.

1011121512240 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 1011121512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872330163200).

1011121512240 is an abundant number, since it is smaller than the sum of its proper divisors (2733538814160).

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

1011121512240 is a wasteful number, since it uses less digits than its factorization.

1011121512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46604 (or 46598 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 1011121512240 its reverse (422151211101), we get a palindrome (1433272723341).

The spelling of 1011121512240 in words is "one trillion, eleven billion, one hundred twenty-one million, five hundred twelve thousand, two hundred forty".