1011431012220 has 288 divisors, whose sum is σ = 3203405936640. Its totient is φ = 267876564480.

The previous prime is 1011431012203. The next prime is 1011431012233. The reversal of 1011431012220 is 222101341101.

1011431012220 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 431 + 0 + 12 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1011431012193 and 1011431012202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 490270909 + ... + 490272971.

It is an arithmetic number, because the mean of its divisors is an integer number (11122937280).

Almost surely, 2^{1011431012220} is an apocalyptic number.

1011431012220 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 1011431012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601702968320).

1011431012220 is an abundant number, since it is smaller than the sum of its proper divisors (2191974924420).

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

1011431012220 is a wasteful number, since it uses less digits than its factorization.

1011431012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1011431012220 its reverse (222101341101), we get a palindrome (1233532353321).

The spelling of 1011431012220 in words is "one trillion, eleven billion, four hundred thirty-one million, twelve thousand, two hundred twenty".