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12010022301200 = 24527114189106861
BaseRepresentation
bin1010111011000100110100…
…0111001110111000010000
31120112010222002210202102012
42232301031013032320100
53033233011202114300
641313154510442052
72346460356116360
oct256611507167020
946463862722365
1012010022301200
113910470541060
12141b758203328
13691703bb7a21
142d7406aa89a0
1515c61cc36435
hexaec4d1cee10

12010022301200 has 480 divisors, whose sum is σ = 37265737340160. Its totient is φ = 3611013120000.

The previous prime is 12010022301191. The next prime is 12010022301253. The reversal of 12010022301200 is 210322001021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 112335770 + ... + 112442630.

It is an arithmetic number, because the mean of its divisors is an integer number (77636952792).

Almost surely, 212010022301200 is an apocalyptic number.

12010022301200 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 12010022301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18632868670080).

12010022301200 is an abundant number, since it is smaller than the sum of its proper divisors (25255715038960).

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

12010022301200 is a wasteful number, since it uses less digits than its factorization.

12010022301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107027 (or 107016 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12010022301200 its reverse (210322001021), we get a palindrome (12220344302221).

The spelling of 12010022301200 in words is "twelve trillion, ten billion, twenty-two million, three hundred one thousand, two hundred".