10022532334000 has 80 divisors (see below), whose sum is σ = 24248129645376. Its totient is φ = 4006755456000.

The previous prime is 10022532333911. The next prime is 10022532334127. The reversal of 10022532334000 is 43323522001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 2143965 + ... + 4964035.

Almost surely, 2^{10022532334000} is an apocalyptic number.

10022532334000 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 10022532334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12124064822688).

10022532334000 is an abundant number, since it is smaller than the sum of its proper divisors (14225597311376).

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

10022532334000 is a wasteful number, since it uses less digits than its factorization.

10022532334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821871 (or 2821855 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 10022532334000 its reverse (43323522001), we get a palindrome (10065855856001).

The spelling of 10022532334000 in words is "ten trillion, twenty-two billion, five hundred thirty-two million, three hundred thirty-four thousand".