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12100022022000 = 2435311223724639
BaseRepresentation
bin1011000000010100000110…
…0000111010111101110000
31120211202021100011021112210
42300011001200322331300
53041221321114201000
641422401241052120
72356124553121053
oct260050140727560
946752240137483
1012100022022000
113945654a91400
121435094a87040
1369a04793cba3
142db903932a9a
1515eb3905a350
hexb014183af70

12100022022000 has 480 divisors, whose sum is σ = 44743656222720. Its totient is φ = 2805798336000.

The previous prime is 12100022021999. The next prime is 12100022022113. The reversal of 12100022022000 is 22022000121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16335681 + ... + 17060319.

It is an arithmetic number, because the mean of its divisors is an integer number (93215950464).

Almost surely, 212100022022000 is an apocalyptic number.

12100022022000 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 12100022022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22371828111360).

12100022022000 is an abundant number, since it is smaller than the sum of its proper divisors (32643634200720).

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

12100022022000 is a wasteful number, since it uses less digits than its factorization.

12100022022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724710 (or 724683 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12100022022000 its reverse (22022000121), we get a palindrome (12122044022121).

The spelling of 12100022022000 in words is "twelve trillion, one hundred billion, twenty-two million, twenty-two thousand".