1011011231120 has 240 divisors, whose sum is σ = 2669994109440. Its totient is φ = 355390464000.

The previous prime is 1011011231119. The next prime is 1011011231143. The reversal of 1011011231120 is 211321101101.

It is a junction number, because it is equal to n+sod(n) for n = 1011011231095 and 1011011231104.

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, 485828480 + ... + 485830560.

It is an arithmetic number, because the mean of its divisors is an integer number (11124975456).

Almost surely, 2^{1011011231120} is an apocalyptic number.

1011011231120 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 1011011231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334997054720).

1011011231120 is an abundant number, since it is smaller than the sum of its proper divisors (1658982878320).

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

1011011231120 is a wasteful number, since it uses less digits than its factorization.

1011011231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1011011231120 its reverse (211321101101), we get a palindrome (1222332332221).

The spelling of 1011011231120 in words is "one trillion, eleven billion, eleven million, two hundred thirty-one thousand, one hundred twenty".