1022333212032 has 128 divisors (see below), whose sum is σ = 2962974107520. Its totient is φ = 309742387200.

The previous prime is 1022333212013. The next prime is 1022333212057. The reversal of 1022333212032 is 2302123332201.

1022333212032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1022333211993 and 1022333212011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27737488 + ... + 27774320.

It is an arithmetic number, because the mean of its divisors is an integer number (23148235215).

Almost surely, 2^{1022333212032} is an apocalyptic number.

1022333212032 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 1022333212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481487053760).

1022333212032 is an abundant number, since it is smaller than the sum of its proper divisors (1940640895488).

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

1022333212032 is a wasteful number, since it uses less digits than its factorization.

1022333212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43432 (or 43420 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1022333212032 its reverse (2302123332201), we get a palindrome (3324456544233).

The spelling of 1022333212032 in words is "one trillion, twenty-two billion, three hundred thirty-three million, two hundred twelve thousand, thirty-two".