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12320131132320 = 253511101910312221
BaseRepresentation
bin1011001101001000000100…
…0010100010101110100000
31121121210102010021121111220
42303102001002202232200
53103323112032213240
642111442355135040
72411046222516624
oct263220102425640
947553363247456
1012320131132320
113a1aa35925840
12146b882ba4480
136b4a2511a0bb
143084245bd184
1516571caee5d0
hexb34810a2ba0

12320131132320 has 384 divisors, whose sum is σ = 42438200555520. Its totient is φ = 2979531264000.

The previous prime is 12320131132247. The next prime is 12320131132339. The reversal of 12320131132320 is 2323113102321.

It is a super-2 number, since 2×123201311323202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5547108810 + ... + 5547111030.

It is an arithmetic number, because the mean of its divisors is an integer number (110516147280).

Almost surely, 212320131132320 is an apocalyptic number.

12320131132320 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 12320131132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21219100277760).

12320131132320 is an abundant number, since it is smaller than the sum of its proper divisors (30118069423200).

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

12320131132320 is a wasteful number, since it uses less digits than its factorization.

12320131132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12320131132320 its reverse (2323113102321), we get a palindrome (14643244234641).

The spelling of 12320131132320 in words is "twelve trillion, three hundred twenty billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred twenty".