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12010201320000 = 26354132592219
BaseRepresentation
bin1010111011000101011111…
…0010001000101001000000
31120112011102120122212001010
42232301113302020221000
53033233343014220000
641313224343440520
72346464661550152
oct256612762105100
946464376585033
1012010201320000
1139105525a3584
12141b7a8156140
13691732007100
142d7422788ad2
1515c62d7e8d50
hexaec57c88a40

12010201320000 has 420 divisors, whose sum is σ = 42998064402480. Its totient is φ = 2956352256000.

The previous prime is 12010201319989. The next prime is 12010201320059. The reversal of 12010201320000 is 2310201021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19983891 + ... + 20576109.

Almost surely, 212010201320000 is an apocalyptic number.

12010201320000 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 12010201320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21499032201240).

12010201320000 is an abundant number, since it is smaller than the sum of its proper divisors (30987863082480).

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

12010201320000 is an equidigital number, since it uses as much as digits as its factorization.

12010201320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592280 (or 592242 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12010201320000 its reverse (2310201021), we get a palindrome (12012511521021).

The spelling of 12010201320000 in words is "twelve trillion, ten billion, two hundred one million, three hundred twenty thousand".