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23312442412000 = 255375350331231
BaseRepresentation
bin1010100110011110110011…
…10110010100101111100000
310001112122111012020211101001
411103033121312110233200
511023422340224141000
6121325331014521344
74624161024662110
oct523173166245740
9101478435224331
1023312442412000
117478829a95335
122746135966254
13100147a647cb1
145a8484959040
152a662429946a
hex1533d9d94be0

23312442412000 has 384 divisors, whose sum is σ = 66831195045888. Its totient is φ = 7826188032000.

The previous prime is 23312442411961. The next prime is 23312442412121. The reversal of 23312442412000 is 21424421332.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 23312442412000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746436385 + ... + 746467615.

It is an arithmetic number, because the mean of its divisors is an integer number (174039570432).

Almost surely, 223312442412000 is an apocalyptic number.

23312442412000 is a gapful number since it is divisible by the number (20) 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 23312442412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415597522944).

23312442412000 is an abundant number, since it is smaller than the sum of its proper divisors (43518752633888).

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

23312442412000 is a wasteful number, since it uses less digits than its factorization.

23312442412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31819 (or 31801 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 23312442412000 its reverse (21424421332), we get a palindrome (23333866833332).

The spelling of 23312442412000 in words is "twenty-three trillion, three hundred twelve billion, four hundred forty-two million, four hundred twelve thousand".