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12401248068 = 22341113925033
BaseRepresentation
bin10111000110010110…
…00000011101000100
31012000021010200020000
423203023000131010
5200344204414233
65410321441300
7616212604116
oct134313003504
935007120200
1012401248068
1152941aa250
1224a11a0230
131228322211
148590293b6
154c8acdd13
hex2e32c0744

12401248068 has 120 divisors (see below), whose sum is σ = 35622380640. Its totient is φ = 3730769280.

The previous prime is 12401248063. The next prime is 12401248099. The reversal of 12401248068 is 86084210421.

12401248068 is a `hidden beast` number, since 1 + 2 + 401 + 248 + 0 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12401248061) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 482880 + ... + 507912.

It is an arithmetic number, because the mean of its divisors is an integer number (296853172).

Almost surely, 212401248068 is an apocalyptic number.

12401248068 is a gapful number since it is divisible by the number (18) 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 12401248068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811190320).

12401248068 is an abundant number, since it is smaller than the sum of its proper divisors (23221132572).

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

12401248068 is a wasteful number, since it uses less digits than its factorization.

12401248068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25199 (or 25188 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 12401248068 its reverse (86084210421), we get a palindrome (98485458489).

The spelling of 12401248068 in words is "twelve billion, four hundred one million, two hundred forty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 139 162 198 278 297 324 396 417 556 594 834 891 1188 1251 1529 1668 1782 2502 3058 3564 3753 4587 5004 6116 7506 9174 11259 13761 15012 18348 22518 25033 27522 41283 45036 50066 55044 75099 82566 100132 123849 150198 165132 225297 247698 275363 300396 450594 495396 550726 675891 826089 901188 1101452 1351782 1652178 2027673 2478267 2703564 3304356 3479587 4055346 4956534 6959174 7434801 8110692 9913068 10438761 13918348 14869602 20877522 22304403 29739204 31316283 38275457 41755044 44608806 62632566 76550914 89217612 93948849 114826371 125265132 153101828 187897698 229652742 281846547 344479113 375795396 459305484 563693094 688958226 1033437339 1127386188 1377916452 2066874678 3100312017 4133749356 6200624034 12401248068