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12121202101221 = 32291489271911471
BaseRepresentation
bin1011000001100010111111…
…1100100000101111100101
31120220202221102012210011100
42300120233330200233211
53042043210214214341
641440223043430313
72360504454614133
oct260305774405745
946822842183140
1012121202101221
113953633650404
121439206085399
1369c041955945
142dc952840753
151604786c93b6
hexb062ff20be5

12121202101221 has 48 divisors (see below), whose sum is σ = 18132551424000. Its totient is φ = 7793366192640.

The previous prime is 12121202101189. The next prime is 12121202101241. The reversal of 12121202101221 is 12210120212121.

12121202101221 is a `hidden beast` number, since 1 + 21 + 212 + 0 + 210 + 1 + 221 = 666.

It is not a de Polignac number, because 12121202101221 - 25 = 12121202101189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12121202101194 and 12121202101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121202101241) 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 47 ways as a sum of consecutive naturals, for example, 1056676516 + ... + 1056687986.

It is an arithmetic number, because the mean of its divisors is an integer number (377761488000).

Almost surely, 212121202101221 is an apocalyptic number.

It is an amenable number.

12121202101221 is a deficient number, since it is larger than the sum of its proper divisors (6011349322779).

12121202101221 is a wasteful number, since it uses less digits than its factorization.

12121202101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15714 (or 15711 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12121202101221 its reverse (12210120212121), we get a palindrome (24331322313342).

The spelling of 12121202101221 in words is "twelve trillion, one hundred twenty-one billion, two hundred two million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 29 87 261 1489 2719 4467 8157 11471 13401 24471 34413 43181 78851 103239 129543 236553 332659 388629 709659 997977 2993931 4048591 12145773 17080319 31189649 36437319 51240957 93568947 117409139 153722871 280706841 352227417 495329251 904499821 1056682251 1485987753 2713499463 4457963259 8140498389 46441387361 139324162083 417972486249 1346800233469 4040400700407 12121202101221