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12122021221011 = 3213229416702919
BaseRepresentation
bin1011000001100110000011…
…0001001101001010010011
31120220212001111112101021100
42300121200301031022103
53042101344413033021
641440440224155443
72360533662202362
oct260314061151223
946825044471240
1012122021221011
113953a13a60209
1214393b4468b83
1369c142571400
142dc9cd5457d9
151604c557b626
hexb0660c4d293

12122021221011 has 72 divisors (see below), whose sum is σ = 20092270816800. Its totient is φ = 7026802997760.

The previous prime is 12122021220961. The next prime is 12122021221049. The reversal of 12122021221011 is 11012212022121.

12122021221011 is a `hidden beast` number, since 1 + 21 + 220 + 212 + 210 + 1 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-12122021221011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122021221811) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1542991 + ... + 5159928.

It is an arithmetic number, because the mean of its divisors is an integer number (279059316900).

Almost surely, 212122021221011 is an apocalyptic number.

12122021221011 is a deficient number, since it is larger than the sum of its proper divisors (7970249595789).

12122021221011 is a wasteful number, since it uses less digits than its factorization.

12122021221011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6703021 (or 6703005 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122021221011 its reverse (11012212022121), we get a palindrome (23134233243132).

The spelling of 12122021221011 in words is "twelve trillion, one hundred twenty-two billion, twenty-one million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 9 13 29 39 41 87 117 123 169 261 369 377 507 533 1131 1189 1521 1599 3393 3567 4797 4901 6929 10701 14703 15457 20787 44109 46371 62361 139113 200941 602823 1808469 6702919 20108757 60326271 87137947 194384651 261413841 274819679 583153953 784241523 824459037 1132793311 1749461859 2473377111 2527000463 3398379933 3572655827 7581001389 7969770691 10195139799 10717967481 22743004167 23909312073 32153902443 32851006019 46444525751 71727936219 98553018057 103607018983 139333577253 295659054171 310821056949 418000731759 932463170847 1346891246779 4040673740337 12122021221011