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121201121022221 = 41431109494312541
BaseRepresentation
bin11011100011101101010101…
…110000111101000100001101
3120220010201021111212222022102
4123203231111300331010031
5111341224343440202341
61105435005404524445
734346330523340442
oct3343552560750415
9526121244788272
10121201121022221
113568911a123949
121171570a250725
1352822a8045b26
1421d02464099c9
15e02abc97ac9b
hex6e3b55c3d10d

121201121022221 has 32 divisors (see below), whose sum is σ = 127195048189440. Its totient is φ = 115358425459200.

The previous prime is 121201121022217. The next prime is 121201121022227. The reversal of 121201121022221 is 122220121102121.

It is a cyclic number.

It is not a de Polignac number, because 121201121022221 - 22 = 121201121022217 is a prime.

It is a super-2 number, since 2×1212011210222212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121201121022193 and 121201121022202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201121022227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9664384211 + ... + 9664396751.

It is an arithmetic number, because the mean of its divisors is an integer number (3974845255920).

Almost surely, 2121201121022221 is an apocalyptic number.

It is an amenable number.

121201121022221 is a deficient number, since it is larger than the sum of its proper divisors (5993927167219).

121201121022221 is a wasteful number, since it uses less digits than its factorization.

121201121022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18677.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 121201121022221 its reverse (122220121102121), we get a palindrome (243421242124342).

The spelling of 121201121022221 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred twenty-one million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 41 43 1109 1763 4943 12541 45469 47687 202663 212549 514181 539263 1955167 5481787 8714509 13907969 22109783 61990163 224753267 235716841 570226729 598042667 2541596683 2665577009 9664390481 24519749347 68747090767 109288657369 2818630721447 2956124902981 121201121022221