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121220111220224 = 291971175506323
BaseRepresentation
bin11011100011111111000001…
…101010110011111000000000
3120220012112021222021222122012
4123203333001222303320000
5111342032241433021344
61105451430022432052
734350602234350262
oct3343770152637000
9526175258258565
10121220111220224
1135696184644765
1211719329b92628
135284013460b93
1421d1128551b32
15e0332ec2b29e
hex6e3fc1ab3e00

121220111220224 has 80 divisors (see below), whose sum is σ = 258541876010880. Its totient is φ = 56611319224320.

The previous prime is 121220111220217. The next prime is 121220111220227. The reversal of 121220111220224 is 422022111022121.

It is a happy number.

It is a super-2 number, since 2×1212201112202242 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121220111220224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220111220227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87062474 + ... + 88443849.

It is an arithmetic number, because the mean of its divisors is an integer number (3231773450136).

Almost surely, 2121220111220224 is an apocalyptic number.

It is an amenable number.

121220111220224 is an abundant number, since it is smaller than the sum of its proper divisors (137321764790656).

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

121220111220224 is an equidigital number, since it uses as much as digits as its factorization.

121220111220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175506431 (or 175506415 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 121220111220224 its reverse (422022111022121), we get a palindrome (543242222242345).

The spelling of 121220111220224 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred eleven million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 142 152 256 284 304 512 568 608 1136 1216 1349 2272 2432 2698 4544 4864 5396 9088 9728 10792 18176 21584 36352 43168 86336 172672 345344 690688 175506323 351012646 702025292 1404050584 2808101168 3334620137 5616202336 6669240274 11232404672 12460948933 13338480548 22464809344 24921897866 26676961096 44929618688 49843795732 53353922192 89859237376 99687591464 106707844384 199375182928 213415688768 236758029727 398750365856 426831377536 473516059454 797500731712 853662755072 947032118908 1595001463424 1707325510144 1894064237816 3190002926848 3788128475632 6380005853696 7576256951264 15152513902528 30305027805056 60610055610112 121220111220224