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121444214112 = 25331310812341
BaseRepresentation
bin111000100011010100…
…0111010010101100000
3102121110122201021211000
41301012220322111200
53442204204322422
6131442442552000
711526333534114
oct1610650722540
9377418637730
10121444214112
1147560102601
121b653508600
13b5b5476830
145c41087744
15325bb80cac
hex1c46a3a560

121444214112 has 96 divisors (see below), whose sum is σ = 381459425760. Its totient is φ = 37367447040.

The previous prime is 121444214081. The next prime is 121444214147. The reversal of 121444214112 is 211412444121.

121444214112 is a `hidden beast` number, since 1 + 2 + 1 + 444 + 214 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5394939 + ... + 5417402.

It is an arithmetic number, because the mean of its divisors is an integer number (3973535685).

Almost surely, 2121444214112 is an apocalyptic number.

121444214112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121444214112 is an abundant number, since it is smaller than the sum of its proper divisors (260015211648).

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

121444214112 is a wasteful number, since it uses less digits than its factorization.

121444214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10812373 (or 10812359 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

Adding to 121444214112 its reverse (211412444121), we get a palindrome (332856658233).

The spelling of 121444214112 in words is "one hundred twenty-one billion, four hundred forty-four million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 10812341 21624682 32437023 43249364 64874046 86498728 97311069 129748092 140560433 172997456 194622138 259496184 281120866 291933207 345994912 389244276 421681299 518992368 562241732 583866414 778488552 843362598 1037984736 1124483464 1167732828 1265043897 1556977104 1686725196 2248966928 2335465656 2530087794 3113954208 3373450392 3795131691 4497933856 4670931312 5060175588 6746900784 7590263382 9341862624 10120351176 13493801568 15180526764 20240702352 30361053528 40481404704 60722107056 121444214112