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12150212400144 = 2434713277371927
BaseRepresentation
bin1011000011001111000100…
…0110000001010000010000
31121000112211012012122220000
42300303301012001100100
53043032113333301034
641501421443050000
72362552406235120
oct260636106012020
947015735178800
1012150212400144
113964970165365
121442961670900
136a19b5c784b0
1430010565cc80
151610c54a8599
hexb0cf1181410

12150212400144 has 400 divisors, whose sum is σ = 43437893630208. Its totient is φ = 3192874619904.

The previous prime is 12150212400121. The next prime is 12150212400191. The reversal of 12150212400144 is 44100421205121.

12150212400144 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 0 + 212 + 400 + 1 + 44 = 666.

It is a super-2 number, since 2×121502124001442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32482309 + ... + 32854235.

Almost surely, 212150212400144 is an apocalyptic number.

12150212400144 is a gapful number since it is divisible by the number (14) 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 12150212400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718946815104).

12150212400144 is an abundant number, since it is smaller than the sum of its proper divisors (31287681230064).

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

12150212400144 is a wasteful number, since it uses less digits than its factorization.

12150212400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372244 (or 372229 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 12150212400144 its reverse (44100421205121), we get a palindrome (56250633605265).

The spelling of 12150212400144 in words is "twelve trillion, one hundred fifty billion, two hundred twelve million, four hundred thousand, one hundred forty-four".