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12002033310000 = 24354720755511
BaseRepresentation
bin1010111010100111000011…
…1011101001100100110000
31120111101100100002221202020
42232221300323221210300
53033120131011410000
641305354042551440
72346055400610006
oct256516073514460
946441310087666
1012002033310000
113908040a02798
12141a0a8808580
13690a2ca2a6b6
142d6c89a68a76
1515c3016b2ba0
hexaea70ee9930

12002033310000 has 200 divisors, whose sum is σ = 38750237754624. Its totient is φ = 3200040480000.

The previous prime is 12002033309969. The next prime is 12002033310011. The reversal of 12002033310000 is 1333020021.

12002033310000 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 (200).

It is a super-2 number, since 2×120020333100002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216182245 + ... + 216237755.

Almost surely, 212002033310000 is an apocalyptic number.

12002033310000 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 12002033310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375118877312).

12002033310000 is an abundant number, since it is smaller than the sum of its proper divisors (26748204444624).

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

12002033310000 is an equidigital number, since it uses as much as digits as its factorization.

12002033310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62749 (or 62728 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12002033310000 its reverse (1333020021), we get a palindrome (12003366330021).

The spelling of 12002033310000 in words is "twelve trillion, two billion, thirty-three million, three hundred ten thousand".