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12042131301200 = 24527111324749223
BaseRepresentation
bin1010111100111100011011…
…1101010110001101010000
31120122012211211112221220102
42233033012331112031100
53034244241103114300
641340025002031532
72352005145115310
oct257170675261520
946565754487812
1012042131301200
1139230481aaaa0
121425a194a85a8
1369475019c300
142d8bb1263440
1515d39baa40d5
hexaf3c6f56350

12042131301200 has 720 divisors, whose sum is σ = 39889982877696. Its totient is φ = 3390883891200.

The previous prime is 12042131301133. The next prime is 12042131301253. The reversal of 12042131301200 is 210313124021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 244619789 + ... + 244669011.

Almost surely, 212042131301200 is an apocalyptic number.

12042131301200 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 12042131301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19944991438848).

12042131301200 is an abundant number, since it is smaller than the sum of its proper divisors (27847851576496).

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

12042131301200 is a wasteful number, since it uses less digits than its factorization.

12042131301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49332 (or 49308 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12042131301200 its reverse (210313124021), we get a palindrome (12252444425221).

The spelling of 12042131301200 in words is "twelve trillion, forty-two billion, one hundred thirty-one million, three hundred one thousand, two hundred".