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12119130640320 = 26351137263117937
BaseRepresentation
bin1011000001011011010001…
…1110100000111111000000
31120220120121001101200000020
42300112310132200333000
53042024434420442240
641435241325053440
72360402232522414
oct260266436407700
946816531350006
1012119130640320
113952770335150
1214389283b7280
1369baa174ab32
142dc7d76a2d44
151603a68ed0d0
hexb05b47a0fc0

12119130640320 has 448 divisors, whose sum is σ = 43275041289216. Its totient is φ = 2847673221120.

The previous prime is 12119130640313. The next prime is 12119130640321. The reversal of 12119130640320 is 2304603191121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12119130640321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102700392 + ... + 102818328.

Almost surely, 212119130640320 is an apocalyptic number.

12119130640320 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 12119130640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21637520644608).

12119130640320 is an abundant number, since it is smaller than the sum of its proper divisors (31155910648896).

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

12119130640320 is a wasteful number, since it uses less digits than its factorization.

12119130640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118268 (or 118258 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 12119130640320 in words is "twelve trillion, one hundred nineteen billion, one hundred thirty million, six hundred forty thousand, three hundred twenty".