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12200000121024 = 263612485941903
BaseRepresentation
bin1011000110001000100010…
…1011000110100011000000
31121012022022222120221022020
42301202020223012203000
53044341100012333044
641540334102441440
72366264243002242
oct261421053064300
947168288527266
1012200000121024
113983a9a018a21
121450537433280
136a65bba51b71
143026a9ad2092
1516253b3baa19
hexb1888ac68c0

12200000121024 has 112 divisors (see below), whose sum is σ = 32810436426240. Its totient is φ = 3999743677440.

The previous prime is 12200000120993. The next prime is 12200000121151. The reversal of 12200000121024 is 42012100000221.

It is a super-2 number, since 2×122000001210242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12200000120994 and 12200000121012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291127657 + ... + 291169559.

Almost surely, 212200000121024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200000121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405218213120).

12200000121024 is an abundant number, since it is smaller than the sum of its proper divisors (20610436305216).

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

12200000121024 is a wasteful number, since it uses less digits than its factorization.

12200000121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66838 (or 66828 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12200000121024 its reverse (42012100000221), we get a palindrome (54212100121245).

The spelling of 12200000121024 in words is "twelve trillion, two hundred billion, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1464 1952 2928 3904 5856 11712 24859 41903 49718 74577 83806 99436 125709 149154 167612 198872 251418 298308 335224 397744 502836 596616 670448 795488 1005672 1193232 1340896 1516399 1590976 2011344 2386464 2556083 2681792 3032798 4022688 4549197 4772928 5112166 6065596 7668249 8045376 9098394 10224332 12131192 15336498 18196788 20448664 24262384 30672996 36393576 40897328 48524768 61345992 72787152 81794656 97049536 122691984 145574304 163589312 245383968 291148608 490767936 1041666677 2083333354 3125000031 4166666708 6250000062 8333333416 12500000124 16666666832 25000000248 33333333664 50000000496 63541667297 66666667328 100000000992 127083334594 190625001891 200000001984 254166669188 381250003782 508333338376 762500007564 1016666676752 1525000015128 2033333353504 3050000030256 4066666707008 6100000060512 12200000121024