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12253013005320 = 23325197627127551
BaseRepresentation
bin1011001001001110000001…
…1111001101010000001000
31121101101011112200111012100
42302103200133031100020
53101223132312132240
642020542332513400
72403152041042233
oct262234037152010
947341145614170
1012253013005320
1139a452345159a
12145a87131b860
136ab5b9a67759
1430509862041a
15163ae04ebe30
hexb24e07cd408

12253013005320 has 192 divisors, whose sum is σ = 40032271319040. Its totient is φ = 3250247616000.

The previous prime is 12253013005223. The next prime is 12253013005339. The reversal of 12253013005320 is 2350031035221.

It is a happy number.

12253013005320 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 30 + 1 + 300 + 5 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444725545 + ... + 444753095.

It is an arithmetic number, because the mean of its divisors is an integer number (208501413120).

Almost surely, 212253013005320 is an apocalyptic number.

12253013005320 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 12253013005320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20016135659520).

12253013005320 is an abundant number, since it is smaller than the sum of its proper divisors (27779258313720).

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

12253013005320 is a wasteful number, since it uses less digits than its factorization.

12253013005320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34036 (or 34029 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 12253013005320 in words is "twelve trillion, two hundred fifty-three billion, thirteen million, five thousand, three hundred twenty".