Search a number
-
+
121431221448 = 233371792712819
BaseRepresentation
bin111000100010111011…
…1010110010011001000
3102121102202021012020020
41301011313112103020
53442142343041243
6131441300300440
711526115231455
oct1610567262310
9377382235206
10121431221448
1147553838a69
121b64b0a1720
13b5b2877a74
145c3d46482c
15325a966283
hex1c45dd64c8

121431221448 has 128 divisors (see below), whose sum is σ = 314793216000. Its totient is φ = 39004727040.

The previous prime is 121431221393. The next prime is 121431221449. The reversal of 121431221448 is 844122134121.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121431221449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43074583 + ... + 43077401.

It is an arithmetic number, because the mean of its divisors is an integer number (2459322000).

Almost surely, 2121431221448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121431221448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157396608000).

121431221448 is an abundant number, since it is smaller than the sum of its proper divisors (193361994552).

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

121431221448 is a wasteful number, since it uses less digits than its factorization.

121431221448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3311 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

Adding to 121431221448 its reverse (844122134121), we get a palindrome (965553355569).

The spelling of 121431221448 in words is "one hundred twenty-one billion, four hundred thirty-one million, two hundred twenty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 179 222 271 296 358 444 537 542 716 813 888 1074 1084 1432 1626 2148 2168 2819 3252 4296 5638 6504 6623 8457 10027 11276 13246 16914 19869 20054 22552 26492 30081 33828 39738 40108 48509 52984 60162 67656 79476 80216 97018 104303 120324 145527 158952 194036 208606 240648 291054 312909 388072 417212 504601 582108 625818 763949 834424 1009202 1164216 1251636 1513803 1527898 1794833 2018404 2291847 2503272 3027606 3055796 3589666 4036808 4583694 5384499 6055212 6111592 7179332 9167388 10768998 12110424 14358664 18334776 18670237 21537996 28266113 37340474 43075992 56010711 56532226 74680948 84798339 112021422 113064452 136746871 149361896 169596678 224042844 226128904 273493742 339193356 410240613 448085688 546987484 678386712 820481226 1093974968 1640962452 3281924904 5059634227 10119268454 15178902681 20238536908 30357805362 40477073816 60715610724 121431221448