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12254042040 = 2335127823977
BaseRepresentation
bin10110110100110010…
…11101011110111000
31011122000010211111220
423122121131132320
5200044013321130
65343542352040
7612444432042
oct133231353670
934560124456
1012254042040
1152190a6179
12245ba2b620
131203990c66
1484366aa92
154bac02410
hex2da65d7b8

12254042040 has 128 divisors (see below), whose sum is σ = 37134581760. Its totient is φ = 3234760704.

The previous prime is 12254042029. The next prime is 12254042069. The reversal of 12254042040 is 4024045221.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12254042040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12542032 + ... + 12543008.

It is an arithmetic number, because the mean of its divisors is an integer number (290113920).

Almost surely, 212254042040 is an apocalyptic number.

12254042040 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 12254042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18567290880).

12254042040 is an abundant number, since it is smaller than the sum of its proper divisors (24880539720).

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

12254042040 is a wasteful number, since it uses less digits than its factorization.

12254042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 12254042040 its reverse (4024045221), we get a palindrome (16278087261).

The spelling of 12254042040 in words is "twelve billion, two hundred fifty-four million, forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 823 977 1016 1270 1524 1646 1905 1954 2469 2540 2931 3048 3292 3810 3908 4115 4885 4938 5080 5862 6584 7620 7816 8230 9770 9876 11724 12345 14655 15240 16460 19540 19752 23448 24690 29310 32920 39080 49380 58620 98760 104521 117240 124079 209042 248158 313563 372237 418084 496316 522605 620395 627126 744474 804071 836168 992632 1045210 1240790 1254252 1488948 1567815 1608142 1861185 2090420 2412213 2481580 2508504 2977896 3135630 3216284 3722370 4020355 4180840 4824426 4963160 6271260 6432568 7444740 8040710 9648852 12061065 12542520 14889480 16081420 19297704 24122130 32162840 48244260 96488520 102117017 204234034 306351051 408468068 510585085 612702102 816936136 1021170170 1225404204 1531755255 2042340340 2450808408 3063510510 4084680680 6127021020 12254042040