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12003243252 = 223721113279139
BaseRepresentation
bin10110010110111001…
…01111010011110100
31010222112012221020220
423023130233103310
5144040312241002
65303023054340
7603310612200
oct131334572364
933875187226
1012003243252
1150aa577350
1223aba413b0
131193a2bb00
1481c223b00
154a3bb17bc
hex2cb72f4f4

12003243252 has 432 divisors, whose sum is σ = 39253939200. Its totient is φ = 2821029120.

The previous prime is 12003243229. The next prime is 12003243253. The reversal of 12003243252 is 25234230021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003243253) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86354199 + ... + 86354337.

It is an arithmetic number, because the mean of its divisors is an integer number (90865600).

Almost surely, 212003243252 is an apocalyptic number.

12003243252 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 12003243252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19626969600).

12003243252 is an abundant number, since it is smaller than the sum of its proper divisors (27250695948).

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

12003243252 is a wasteful number, since it uses less digits than its factorization.

12003243252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 12003243252 its reverse (25234230021), we get a palindrome (37237473273).

It can be divided in two parts, 1200324 and 3252, that added together give a triangular number (1203576 = T1551).

The spelling of 12003243252 in words is "twelve billion, three million, two hundred forty-three thousand, two hundred fifty-two".