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121221001012111 = 72111329596551237
BaseRepresentation
bin11011100011111111110110…
…101101000110001110001111
3120220012121120222121002122021
4123203333312231012032033
5111342041102224341421
61105452054210031011
734350633260431600
oct3343776655061617
9526177528532567
10121221001012111
11356965a0934560
1211719537b78467
1352841258c2060
1421d11b07b1da7
15e03382ddd341
hex6e3ff6b4638f

121221001012111 has 48 divisors (see below), whose sum is σ = 171377239652640. Its totient is φ = 84185310424320.

The previous prime is 121221001012061. The next prime is 121221001012183. The reversal of 121221001012111 is 111210100122121.

It is not a de Polignac number, because 121221001012111 - 221 = 121220998914959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221001010111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298072416 + ... + 298478821.

It is an arithmetic number, because the mean of its divisors is an integer number (3570359159430).

Almost surely, 2121221001012111 is an apocalyptic number.

121221001012111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121221001012111 is a deficient number, since it is larger than the sum of its proper divisors (50156238640529).

121221001012111 is a wasteful number, since it uses less digits than its factorization.

121221001012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596551304 (or 596551297 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 121221001012111 its reverse (111210100122121), we get a palindrome (232431101134232).

It can be divided in two parts, 1212210010 and 12111, that added together give a palindrome (1212222121).

The spelling of 121221001012111 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one million, twelve thousand, one hundred eleven".

Divisors: 1 7 11 13 29 49 77 91 143 203 319 377 539 637 1001 1421 2233 2639 4147 7007 15631 18473 29029 203203 596551237 4175858659 6562063607 7755166081 17299985873 29231010613 45934445249 54286162567 85306826891 121099901111 190299844603 224899816349 321541116743 380003137969 597147788237 847699307777 1332098912221 1574298714443 2473897979839 4180034517659 9324692385547 11020091001101 17317285858873 121221001012111