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12441034433121 = 3729313559185161
BaseRepresentation
bin1011010100001010011101…
…1100000010001001100001
31122001100111002011122202120
42311002213130002021201
53112313214303324441
642243155440334453
72422556300566230
oct265024734021141
948040432148676
1012441034433121
113a67238667148
12148b1a5314429
136c32524b5388
143102138a0b17
15168947034966
hexb50a7702261

12441034433121 has 64 divisors (see below), whose sum is σ = 20249908838400. Its totient is φ = 6640696742400.

The previous prime is 12441034433119. The next prime is 12441034433137. The reversal of 12441034433121 is 12133443014421.

It is a happy number.

It is not a de Polignac number, because 12441034433121 - 21 = 12441034433119 is a prime.

It is a super-2 number, since 2×124410344331212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12441034433101) 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, 67097781 + ... + 67282941.

It is an arithmetic number, because the mean of its divisors is an integer number (316404825600).

Almost surely, 212441034433121 is an apocalyptic number.

It is an amenable number.

12441034433121 is a deficient number, since it is larger than the sum of its proper divisors (7808874405279).

12441034433121 is a wasteful number, since it uses less digits than its factorization.

12441034433121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188790.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 12441034433121 its reverse (12133443014421), we get a palindrome (24574477447542).

The spelling of 12441034433121 in words is "twelve trillion, four hundred forty-one billion, thirty-four million, four hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 21 29 31 87 93 203 217 609 651 899 2697 3559 6293 10677 18879 24913 74739 103211 110329 185161 309633 330987 555483 722477 772303 1296127 2167431 2316909 3199541 3888381 5369669 5739991 9598623 16109007 17219973 22396787 37587683 40179937 67190361 112763049 120539811 166459739 499379217 658987999 1165218173 1976963997 3495654519 4612915993 13838747979 19110651971 20428627969 57331955913 61285883907 133774563797 143000395783 401323691391 429001187349 592430211101 1777290633303 4147011477707 12441034433121