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122421124221 = 31137857116993
BaseRepresentation
bin111001000000011011…
…1100001110001111101
3102200222201221110112220
41302000313201301331
54001204301433341
6132123421315553
711562465246414
oct1620067416175
9380881843486
10122421124221
1147a11595630
121b886705bb9
13b70c98b056
145cd4b0447b
1532b7800a66
hex1c80de1c7d

122421124221 has 32 divisors (see below), whose sum is σ = 183094674048. Its totient is φ = 72104509440.

The previous prime is 122421124219. The next prime is 122421124223.

122421124221 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (122421124219) and next prime (122421124223).

It is not a de Polignac number, because 122421124221 - 21 = 122421124219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122421124191 and 122421124200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122421124223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987901 + ... + 1104893.

It is an arithmetic number, because the mean of its divisors is an integer number (5721708564).

Almost surely, 2122421124221 is an apocalyptic number.

122421124221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122421124221 is a deficient number, since it is larger than the sum of its proper divisors (60673549827).

122421124221 is a wasteful number, since it uses less digits than its factorization.

122421124221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117901.

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 122421 and 124221, that added together give a palindrome (246642).

The spelling of 122421124221 in words is "one hundred twenty-two billion, four hundred twenty-one million, one hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 111 407 857 1221 2571 9427 28281 31709 95127 116993 348799 350979 1046397 1286923 3860769 4328741 12986223 47616151 100263001 142848453 300789003 1102893011 3308679033 3709731037 11129193111 40807041407 122421124221