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12214152401 = 11172947173277
BaseRepresentation
bin10110110000000010…
…10010110011010001
31011112020002020012212
423120001102303101
5200003310334101
65335555401505
7611451403523
oct133001226321
934466066185
1012214152401
1151a8630530
12244a5b3295
1311c8635719
1483c245a13
154b74731bb
hex2d8052cd1

12214152401 has 64 divisors (see below), whose sum is σ = 15045626880. Its totient is φ = 9783029760.

The previous prime is 12214152371. The next prime is 12214152421. The reversal of 12214152401 is 10425141221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12214152401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12214152421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44094275 + ... + 44094551.

It is an arithmetic number, because the mean of its divisors is an integer number (235087920).

Almost surely, 212214152401 is an apocalyptic number.

12214152401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12214152401 is a deficient number, since it is larger than the sum of its proper divisors (2831474479).

12214152401 is a wasteful number, since it uses less digits than its factorization.

12214152401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554.

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 12214152401 its reverse (10425141221), we get a palindrome (22639293622).

The spelling of 12214152401 in words is "twelve billion, two hundred fourteen million, one hundred fifty-two thousand, four hundred one".

Divisors: 1 11 17 29 47 173 187 277 319 493 517 799 1363 1903 2941 3047 4709 5017 5423 8033 8131 8789 13019 14993 23171 32351 47921 51799 55187 85289 88363 89441 136561 138227 143209 221323 235799 254881 377551 527131 814657 938179 1389709 1502171 1520497 2252287 2434553 2593789 4008583 4153061 6418367 8961227 15286799 23625053 24775157 38288879 44094413 65316323 70602037 259875583 421177669 718479553 1110377491 12214152401