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12053120223144 = 2337111371109241269
BaseRepresentation
bin1010111101100101010111…
…1100110000011110101000
31120200021012200011000220110
42233121111330300132220
53034434242234120034
641345043232454320
72352544361321520
oct257312574603650
946607180130813
1012053120223144
113927777161770
121427b856aa3a0
136957b1a184a0
142d953488c680
1515d7e16a5de9
hexaf655f307a8

12053120223144 has 1024 divisors, whose sum is σ = 41730619392000. Its totient is φ = 2800852992000.

The previous prime is 12053120223143. The next prime is 12053120223163. The reversal of 12053120223144 is 44132202135021.

It is a happy number.

It is a super-2 number, since 2×120531202231442 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12053120223143) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 44807138242 + ... + 44807138510.

It is an arithmetic number, because the mean of its divisors is an integer number (40752558000).

Almost surely, 212053120223144 is an apocalyptic number.

12053120223144 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 12053120223144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20865309696000).

12053120223144 is an abundant number, since it is smaller than the sum of its proper divisors (29677499168856).

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

12053120223144 is a wasteful number, since it uses less digits than its factorization.

12053120223144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 12053120223144 its reverse (44132202135021), we get a palindrome (56185322358165).

The spelling of 12053120223144 in words is "twelve trillion, fifty-three billion, one hundred twenty million, two hundred twenty-three thousand, one hundred forty-four".