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121220021102202 = 232113729395629993
BaseRepresentation
bin11011100011111110111100…
…010011000010011001111010
3120220012112001200201111221200
4123203332330103002121322
5111342032100400232302
61105451413043115030
734350600061353441
oct3343767423023172
9526175050644850
10121220021102202
1135696138792760
1211719303972a76
135283cca89a2c9
1421d111a5b3d58
15e03326d7981c
hex6e3fbc4c267a

121220021102202 has 96 divisors (see below), whose sum is σ = 294364011090240. Its totient is φ = 35728379631360.

The previous prime is 121220021102197. The next prime is 121220021102203. The reversal of 121220021102202 is 202201120022121.

It is a happy number.

121220021102202 is a `hidden beast` number, since 1 + 212 + 20 + 0 + 211 + 0 + 220 + 2 = 666.

121220021102202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (121220021102203) 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, 18716118 + ... + 24346110.

It is an arithmetic number, because the mean of its divisors is an integer number (3066291782190).

Almost surely, 2121220021102202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220021102202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147182005545120).

121220021102202 is an abundant number, since it is smaller than the sum of its proper divisors (173143989988038).

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

121220021102202 is a wasteful number, since it uses less digits than its factorization.

121220021102202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632988 (or 5632985 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121220021102202 its reverse (202201120022121), we get a palindrome (323421141124323).

The spelling of 121220021102202 in words is "one hundred twenty-one trillion, two hundred twenty billion, twenty-one million, one hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 2939 3663 5878 7326 8817 17634 26451 32329 52902 64658 96987 108743 193974 217486 290961 326229 581922 652458 978687 1196173 1957374 2392346 3588519 5629993 7177038 10765557 11259986 16889979 21531114 33779958 50669937 61929923 101339874 123859846 185789769 208309741 371579538 416619482 557369307 624929223 1114738614 1249858446 1874787669 2291407151 3749575338 4582814302 6874221453 13748442906 16546549427 20622664359 33093098854 41245328718 49639648281 99279296562 148918944843 182012043697 297837889686 364024087394 546036131091 612222328799 1092072262182 1224444657598 1638108393273 1836666986397 3276216786546 3673333972794 5510000959191 6734445616789 11020001918382 13468891233578 20203336850367 40406673700734 60610010551101 121220021102202