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124222114128 = 24371721747569
BaseRepresentation
bin111001110110000110…
…1110000100101010000
3102212122020211020020210
41303230031300211100
54013401330123003
6133022235004120
711655224356020
oct1635415604520
9385566736223
10124222114128
1148756165a42
12200a9899640
13b938b36858
146025d97a80
1533709a2503
hex1cec370950

124222114128 has 80 divisors (see below), whose sum is σ = 388324609920. Its totient is φ = 33404264448.

The previous prime is 124222114127. The next prime is 124222114139. The reversal of 124222114128 is 821411222421.

It is a super-2 number, since 2×1242221141282 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 124222114095 and 124222114104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124222114127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10868073 + ... + 10879496.

It is an arithmetic number, because the mean of its divisors is an integer number (4854057624).

Almost surely, 2124222114128 is an apocalyptic number.

It is an amenable number.

124222114128 is an abundant number, since it is smaller than the sum of its proper divisors (264102495792).

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

124222114128 is a wasteful number, since it uses less digits than its factorization.

124222114128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21747604 (or 21747598 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

Adding to 124222114128 its reverse (821411222421), we get a palindrome (945633336549).

The spelling of 124222114128 in words is "one hundred twenty-four billion, two hundred twenty-two million, one hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 21747569 43495138 65242707 86990276 130485414 152232983 173980552 260970828 304465966 347961104 369708673 456698949 521941656 608931932 739417346 913397898 1043883312 1109126019 1217863864 1478834692 1826795796 2218252038 2435727728 2587960711 2957669384 3653591592 4436504076 5175921422 5915338768 7307183184 7763882133 8873008152 10351842844 15527764266 17746016304 20703685688 31055528532 41407371376 62111057064 124222114128