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12004410024252 = 223419167101311527
BaseRepresentation
bin1010111010101111111010…
…0110000110000100111100
31120111121110222022112210000
42232223332212012010330
53033140012431234002
641310425544114300
72346201320421042
oct256537646060474
946447428275700
1012004410024252
113909050560348
12141a650765990
1369101b2524a9
142d7033586392
1515c3e018961c
hexaeafe98613c

12004410024252 has 240 divisors, whose sum is σ = 33267074480640. Its totient is φ = 3764120139648.

The previous prime is 12004410024241. The next prime is 12004410024293. The reversal of 12004410024252 is 25242001440021.

It is a happy number.

12004410024252 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 4 + 410 + 0 + 242 + 5 + 2 = 666.

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

It is a congruent number.

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, 1041410913 + ... + 1041422439.

It is an arithmetic number, because the mean of its divisors is an integer number (138612810336).

Almost surely, 212004410024252 is an apocalyptic number.

12004410024252 is a gapful number since it is divisible by the number (12) 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 12004410024252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16633537240320).

12004410024252 is an abundant number, since it is smaller than the sum of its proper divisors (21262664456388).

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

12004410024252 is a wasteful number, since it uses less digits than its factorization.

12004410024252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12742 (or 12731 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 12004410024252 its reverse (25242001440021), we get a palindrome (37246411464273).

The spelling of 12004410024252 in words is "twelve trillion, four billion, four hundred ten million, twenty-four thousand, two hundred fifty-two".