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121113331111221 = 31959211379450343
BaseRepresentation
bin11011100010011011100101…
…000101000001010100110101
3120212211022200021200102100020
4123202123211011001110311
5111333310100231024341
61105330410214235353
734340102151403161
oct3342334505012465
9525738607612306
10121113331111221
1135654969aa3399
12117006a9655b59
135276c27078427
1421c9cb8c53ca1
15e00680660566
hex6e26e5141535

121113331111221 has 64 divisors (see below), whose sum is σ = 174142620672000. Its totient is φ = 74642132940480.

The previous prime is 121113331111211. The next prime is 121113331111303. The reversal of 121113331111221 is 122111133311121.

It is a de Polignac number, because none of the positive numbers 2k-121113331111221 is a prime.

It is a super-3 number, since 3×1211133311112213 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121113331111191 and 121113331111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121113331111211) 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, 268710576 + ... + 269160918.

It is an arithmetic number, because the mean of its divisors is an integer number (2720978448000).

Almost surely, 2121113331111221 is an apocalyptic number.

It is an amenable number.

121113331111221 is a deficient number, since it is larger than the sum of its proper divisors (53029289560779).

121113331111221 is a wasteful number, since it uses less digits than its factorization.

121113331111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451014.

The product of its digits is 216, while the sum is 24.

Adding to 121113331111221 its reverse (122111133311121), we get a palindrome (243224464422342).

The spelling of 121113331111221 in words is "one hundred twenty-one trillion, one hundred thirteen billion, three hundred thirty-one million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 19 57 59 177 211 379 633 1121 1137 3363 4009 7201 12027 12449 21603 22361 37347 67083 79969 236531 239907 424859 450343 709593 1274577 1351029 1519411 4558233 4718171 8556517 14154513 25669551 26570237 79710711 89645249 95022373 170679997 268935747 285067119 504834503 512039991 1514503509 1805425087 3242919943 5416275261 5606320007 9728759829 10070119823 16818960021 30210359469 36013479367 106520080133 108040438101 191332276637 319560240399 573996829911 684256107973 2052768323919 2124795282653 6374385847959 40371110370407 121113331111221