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13230122121040 = 2451125325787701
BaseRepresentation
bin1100000010000110000010…
…1110101011011101010000
31201211210020221212111201111
43000201200232223131100
53213230242230333130
644045500104143104
72533562521351306
oct300414056533520
951753227774644
1013230122121040
114240955035300
121598105167a94
1374c797759b46
1433a4ac860276
1517e22c30902a
hexc0860bab750

13230122121040 has 120 divisors (see below), whose sum is σ = 34448553292104. Its totient is φ = 4720180608000.

The previous prime is 13230122120947. The next prime is 13230122121071. The reversal of 13230122121040 is 4012122103231.

It can be written as a sum of positive squares in 4 ways, for example, as 394067551504 + 12836054569536 = 627748^2 + 3582744^2 .

It is a super-2 number, since 2×132301221210402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12380811 + ... + 13406890.

Almost surely, 213230122121040 is an apocalyptic number.

13230122121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13230122121040 is an abundant number, since it is smaller than the sum of its proper divisors (21218431171064).

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

13230122121040 is a wasteful number, since it uses less digits than its factorization.

13230122121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25787789 (or 25787772 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13230122121040 its reverse (4012122103231), we get a palindrome (17242244224271).

The spelling of 13230122121040 in words is "thirteen trillion, two hundred thirty billion, one hundred twenty-two million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 121 176 212 220 242 265 424 440 484 530 583 605 848 880 968 1060 1166 1210 1936 2120 2332 2420 2915 4240 4664 4840 5830 6413 9328 9680 11660 12826 23320 25652 32065 46640 51304 64130 102608 128260 256520 513040 25787701 51575402 103150804 128938505 206301608 257877010 283664711 412603216 515754020 567329422 1031508040 1134658844 1366748153 1418323555 2063016080 2269317688 2733496306 2836647110 3120311821 4538635376 5466992612 5673294220 6240623642 6833740765 10933985224 11346588440 12481247284 13667481530 15034229683 15601559105 21867970448 22693176880 24962494568 27334963060 30068459366 31203118210 49924989136 54669926120 60136918732 62406236420 75171148415 109339852240 120273837464 124812472840 150342296830 165376526513 240547674928 249624945680 300684593660 330753053026 601369187320 661506106052 826882632565 1202738374640 1323012212104 1653765265130 2646024424208 3307530530260 6615061060520 13230122121040