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12042320231200 = 25527103129716097
BaseRepresentation
bin1010111100111101001000…
…1110000011101100100000
31120122020100000001121010211
42233033102032003230200
53034300132434344300
641340055431303504
72352012631025530
oct257172216035440
946566300047124
1012042320231200
113923134911996
121425a7081ab94
1369478037b9cc
142d8bcc3a34c0
1515d3ad4734ba
hexaf3d2383b20

12042320231200 has 288 divisors, whose sum is σ = 33952533398784. Its totient is φ = 4085303869440.

The previous prime is 12042320231197. The next prime is 12042320231203. The reversal of 12042320231200 is 213202324021.

It is an interprime number because it is at equal distance from previous prime (12042320231197) and next prime (12042320231203).

It is not an unprimeable number, because it can be changed into a prime (12042320231203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748101552 + ... + 748117648.

It is an arithmetic number, because the mean of its divisors is an integer number (117890740968).

Almost surely, 212042320231200 is an apocalyptic number.

12042320231200 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 12042320231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16976266699392).

12042320231200 is an abundant number, since it is smaller than the sum of its proper divisors (21910213167584).

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

12042320231200 is a wasteful number, since it uses less digits than its factorization.

12042320231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17524 (or 17511 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12042320231200 its reverse (213202324021), we get a palindrome (12255522555221).

The spelling of 12042320231200 in words is "twelve trillion, forty-two billion, three hundred twenty million, two hundred thirty-one thousand, two hundred".