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121111221111102 = 232374117532530139
BaseRepresentation
bin11011100010011001100111…
…010100000000100100111110
3120212211010020020100022022200
4123202121213110000210332
5111333241240101023402
61105325421001452330
734336665650606265
oct3342314724004476
9525733206308280
10121111221111102
1135653a86a55042
12117001baaa10a6
13527697bb98951
1421c9b589235dc
15e005aa2c021c
hex6e266750093e

121111221111102 has 96 divisors (see below), whose sum is σ = 276230503916640. Its totient is φ = 38299407344640.

The previous prime is 121111221111071. The next prime is 121111221111109. The reversal of 121111221111102 is 201111122111121.

121111221111102 is a `hidden beast` number, since 121 + 111 + 221 + 111 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111221111109) 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, 46602349 + ... + 49132487.

It is an arithmetic number, because the mean of its divisors is an integer number (2877401082465).

Almost surely, 2121111221111102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121111221111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138115251958320).

121111221111102 is an abundant number, since it is smaller than the sum of its proper divisors (155119282805538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121111221111102 is a wasteful number, since it uses less digits than its factorization.

121111221111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531978 (or 2531975 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 121111221111102 its reverse (201111122111121), we get a palindrome (322222343222223).

The spelling of 121111221111102 in words is "one hundred twenty-one trillion, one hundred eleven billion, two hundred twenty-one million, one hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 333 369 666 738 1517 1753 3034 3506 4551 5259 9102 10518 13653 15777 27306 31554 64861 71873 129722 143746 194583 215619 389166 431238 583749 646857 1167498 1293714 2530139 2659301 5060278 5318602 7590417 7977903 15180834 15955806 22771251 23933709 45542502 47867418 93615143 103735699 187230286 207471398 280845429 311207097 561690858 622414194 842536287 933621291 1685072574 1867242582 3838220863 4435333667 7676441726 8870667334 11514662589 13306001001 23029325178 26612002002 34543987767 39918003003 69087975534 79836006006 164107345679 181848680347 328214691358 363697360694 492322037037 545546041041 984644074074 1091092082082 1476966111111 1636638123123 2953932222222 3273276246246 6728401172839 13456802345678 20185203518517 40370407037034 60555610555551 121111221111102