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120210121012221 = 32127641571639271
BaseRepresentation
bin11011010101010010011001…
…100011111011001111111101
3120202121222100000112102010100
4123111102121203323033331
5111224010311434342341
61103355433415231313
734214615601261342
oct3325223143731775
9522558300472110
10120210121012221
113533690a492719
121159563a378539
13520c9c5525b76
1421982b53b47c9
15dd6e1b3dd3b6
hex6d54998fb3fd

120210121012221 has 24 divisors (see below), whose sum is σ = 175006895192064. Its totient is φ = 79507768626720.

The previous prime is 120210121012181. The next prime is 120210121012249. The reversal of 120210121012221 is 122210121012021.

120210121012221 is a `hidden beast` number, since 1 + 20 + 210 + 1 + 210 + 1 + 2 + 221 = 666.

It is not a de Polignac number, because 120210121012221 - 227 = 120209986794493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120210121012194 and 120210121012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120210121012321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72511816 + ... + 74151086.

It is an arithmetic number, because the mean of its divisors is an integer number (7291953966336).

Almost surely, 2120210121012221 is an apocalyptic number.

It is an amenable number.

120210121012221 is a deficient number, since it is larger than the sum of its proper divisors (54796774179843).

120210121012221 is a wasteful number, since it uses less digits than its factorization.

120210121012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703561 (or 1703558 counting only the distinct ones).

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

Adding to 120210121012221 its reverse (122210121012021), we get a palindrome (242420242024242).

The spelling of 120210121012221 in words is "one hundred twenty trillion, two hundred ten billion, one hundred twenty-one million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 127 381 1143 64157 192471 577413 1639271 4917813 8147939 14753439 24443817 73331451 208187417 624562251 1873686753 105170709547 315512128641 946536385923 13356680112469 40070040337407 120210121012221