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12420135115000 = 23545651439573
BaseRepresentation
bin1011010010111100100110…
…1111011101100011111000
31121222100112120102021222021
42310233021233131203320
53111442414042140000
642225421543404224
72421216345403504
oct264571157354370
947870476367867
1012420135115000
113a59393531108
121487132153674
136c12a16c2552
1430d1cdd99304
1516812237411a
hexb4bc9bdd8f8

12420135115000 has 80 divisors (see below), whose sum is σ = 29105592385320. Its totient is φ = 4967163600000.

The previous prime is 12420135114983. The next prime is 12420135115001. The reversal of 12420135115000 is 51153102421.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420135115001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28035214 + ... + 28474786.

Almost surely, 212420135115000 is an apocalyptic number.

12420135115000 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 12420135115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14552796192660).

12420135115000 is an abundant number, since it is smaller than the sum of its proper divisors (16685457270320).

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

12420135115000 is an equidigital number, since it uses as much as digits as its factorization.

12420135115000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445250 (or 445231 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 12420135115000 its reverse (51153102421), we get a palindrome (12471288217421).

The spelling of 12420135115000 in words is "twelve trillion, four hundred twenty billion, one hundred thirty-five million, one hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 5651 11302 22604 28255 45208 56510 113020 141275 226040 282550 439573 565100 706375 879146 1130200 1412750 1758292 2197865 2825500 3516584 3531875 4395730 5651000 7063750 8791460 10989325 14127500 17582920 21978650 28255000 43957300 54946625 87914600 109893250 219786500 274733125 439573000 549466250 1098932500 2197865000 2484027023 4968054046 9936108092 12420135115 19872216184 24840270230 49680540460 62100675575 99361080920 124201351150 248402702300 310503377875 496805404600 621006755750 1242013511500 1552516889375 2484027023000 3105033778750 6210067557500 12420135115000