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121222420144133 = 741119972490421
BaseRepresentation
bin11011100100000001001011…
…010010101010000000000101
3120220012202020212221110210112
4123210001023102222000011
5111342102004024103013
61105452451103002405
734351013402030000
oct3344011322520005
9526182225843715
10121222420144133
1135697159a00440
1211719873299405
1352842c090bb49
1421d12a7064537
15e034177b1ba8
hex6e404b4aa005

121222420144133 has 80 divisors (see below), whose sum is σ = 164067805957440. Its totient is φ = 88564913740800.

The previous prime is 121222420144103. The next prime is 121222420144159. The reversal of 121222420144133 is 331441024222121.

It is not a de Polignac number, because 121222420144133 - 26 = 121222420144069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121222420144133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222420144103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47430263 + ... + 49920683.

It is an arithmetic number, because the mean of its divisors is an integer number (2050847574468).

Almost surely, 2121222420144133 is an apocalyptic number.

It is an amenable number.

121222420144133 is a deficient number, since it is larger than the sum of its proper divisors (42845385813307).

121222420144133 is an equidigital number, since it uses as much as digits as its factorization.

121222420144133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490576 (or 2490555 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 121222420144133 its reverse (331441024222121), we get a palindrome (452663444366254).

The spelling of 121222420144133 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, four hundred twenty million, one hundred forty-four thousand, one hundred thirty-three".

Divisors: 1 7 11 19 49 77 97 133 209 343 539 679 931 1067 1463 1843 2401 3773 4753 6517 7469 10241 12901 20273 26411 33271 45619 52283 71687 90307 141911 232897 365981 501809 632149 993377 2490421 2561867 4425043 6953639 17432947 27394631 47317999 48675473 122030629 191762417 241570837 331225993 520497989 854214403 1342336919 1690995859 2318581951 2657279207 3643485923 4589845903 5979500821 9396358433 11836971013 16230073657 18600954449 25504401461 32128921321 50488304933 65774509031 82858797091 113610515599 130206681143 178530810227 224902449247 353418134531 580011579637 911446768001 1249715671589 1574317144729 2473926941717 6380127376007 11020220013103 17317488592019 121222420144133