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12021321213000 = 2334531159228677
BaseRepresentation
bin1010111011101110111010…
…0101001010010001001000
31120120020010112200221120000
42232323232211022101020
53033424131212304000
641322304013403000
72350340355230241
oct256735645122110
946506115627500
1012021321213000
11391523947a7a0
121421990199460
136927b4a1ba58
142d7b99547cc8
1515ca7eb6c000
hexaeeee94a448

12021321213000 has 640 divisors, whose sum is σ = 46618480022400. Its totient is φ = 2864852928000.

The previous prime is 12021321212909. The next prime is 12021321213047. The reversal of 12021321213000 is 31212312021.

12021321213000 is a `hidden beast` number, since 1 + 2 + 0 + 21 + 321 + 21 + 300 + 0 = 666.

12021321213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120213212130002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52454662 + ... + 52683338.

It is an arithmetic number, because the mean of its divisors is an integer number (72841375035).

Almost surely, 212021321213000 is an apocalyptic number.

12021321213000 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 12021321213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23309240011200).

12021321213000 is an abundant number, since it is smaller than the sum of its proper divisors (34597158809400).

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

12021321213000 is a wasteful number, since it uses less digits than its factorization.

12021321213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228780 (or 228757 counting only the distinct ones).

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

Adding to 12021321213000 its reverse (31212312021), we get a palindrome (12052533525021).

The spelling of 12021321213000 in words is "twelve trillion, twenty-one billion, three hundred twenty-one million, two hundred thirteen thousand".