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12010302311220 = 22325798914963691
BaseRepresentation
bin1010111011000101110111…
…0011011000101100110100
31120112011200121200201221200
42232301131303120230310
53033234044342424340
641313242352212500
72346500326141203
oct256613563305464
946464617621850
1012010302311220
1139105a46017a4
12141b815b3a130
13691749c06b25
142d7431d5723a
1515c6375e7330
hexaec5dcd8b34

12010302311220 has 288 divisors, whose sum is σ = 37557898560000. Its totient is φ = 3105642608640.

The previous prime is 12010302311177. The next prime is 12010302311221. The reversal of 12010302311220 is 2211320301021.

12010302311220 is a `hidden beast` number, since 1 + 20 + 10 + 302 + 311 + 2 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12010302311193 and 12010302311202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010302311221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188539575 + ... + 188603265.

It is an arithmetic number, because the mean of its divisors is an integer number (130409370000).

Almost surely, 212010302311220 is an apocalyptic number.

12010302311220 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 12010302311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18778949280000).

12010302311220 is an abundant number, since it is smaller than the sum of its proper divisors (25547596248780).

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

12010302311220 is a wasteful number, since it uses less digits than its factorization.

12010302311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64023 (or 64018 counting only the distinct ones).

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

Adding to 12010302311220 its reverse (2211320301021), we get a palindrome (14221622612241).

The spelling of 12010302311220 in words is "twelve trillion, ten billion, three hundred two million, three hundred eleven thousand, two hundred twenty".