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121311222113121 = 3371092893892911
BaseRepresentation
bin11011100101010011111000…
…010011010010001101100001
3120220112020110122111220022220
4123211103320103102031201
5111400030340330104441
61110001334525221253
734360306113225525
oct3345237023221541
9526466418456286
10121311222113121
1135720889340057
1211732b16a01829
13528c7a3478c21
1421d56ccbc5d85
15e058b3891466
hex6e54f84d2361

121311222113121 has 8 divisors (see below), whose sum is σ = 166119871722624. Its totient is φ = 78688360289520.

The previous prime is 121311222113111. The next prime is 121311222113171.

121311222113121 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 121311222113121 - 245 = 86126850024289 is a prime.

It is a super-2 number, since 2×1213112221131212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121311222113091 and 121311222113100.

It is not an unprimeable number, because it can be changed into a prime (121311222113111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546446946345 + ... + 546446946566.

It is an arithmetic number, because the mean of its divisors is an integer number (20764983965328).

Almost surely, 2121311222113121 is an apocalyptic number.

It is an amenable number.

121311222113121 is a deficient number, since it is larger than the sum of its proper divisors (44808649609503).

121311222113121 is a wasteful number, since it uses less digits than its factorization.

121311222113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092893892951.

The product of its digits is 288, while the sum is 24.

The spelling of 121311222113121 in words is "one hundred twenty-one trillion, three hundred eleven billion, two hundred twenty-two million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 37 111 1092893892911 3278681678733 40437074037707 121311222113121