1011023212032 has 240 divisors, whose sum is σ = 2943645344640. Its totient is φ = 334040371200.

The previous prime is 1011023212021. The next prime is 1011023212061. The reversal of 1011023212032 is 2302123201101.

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 = 1011023211996 and 1011023212014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660367107 + ... + 660368637.

It is an arithmetic number, because the mean of its divisors is an integer number (12265188936).

Almost surely, 2^{1011023212032} is an apocalyptic number.

1011023212032 is a gapful number since it is divisible by the number (12) 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 1011023212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471822672320).

1011023212032 is an abundant number, since it is smaller than the sum of its proper divisors (1932622132608).

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

1011023212032 is a wasteful number, since it uses less digits than its factorization.

1011023212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1011023212032 its reverse (2302123201101), we get a palindrome (3313146413133).

The spelling of 1011023212032 in words is "one trillion, eleven billion, twenty-three million, two hundred twelve thousand, thirty-two".