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4212112124 = 2211211517561
BaseRepresentation
bin1111101100001111…
…1011101011111100
3101212112211110120202
43323003323223330
532111300041444
61533544103032
7206244235163
oct37303735374
911775743522
104212112124
11187169a200
12996764a78
13521859a4c
142bd5aa3da
15199bc334e
hexfb0fbafc

4212112124 has 36 divisors (see below), whose sum is σ = 8110335744. Its totient is φ = 1912680000.

The previous prime is 4212112111. The next prime is 4212112127.

4212112124 is nontrivially palindromic in base 10.

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 = 4212112096 and 4212112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212112127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 553304 + ... + 560864.

It is an arithmetic number, because the mean of its divisors is an integer number (225287104).

Almost surely, 24212112124 is an apocalyptic number.

4212112124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4212112124 is a deficient number, since it is larger than the sum of its proper divisors (3898223620).

4212112124 is a wasteful number, since it uses less digits than its factorization.

4212112124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8738 (or 8725 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 4212112124 is about 64900.7867748920. The cubic root of 4212112124 is about 1614.9781136826.

It can be divided in two parts, 42121 and 12124, that added together give a palindrome (54245).

The spelling of 4212112124 in words is "four billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 121 242 484 1151 2302 4604 7561 12661 15122 25322 30244 50644 83171 139271 166342 278542 332684 557084 914881 1829762 3659524 8702711 17405422 34810844 95729821 191459642 382919284 1053028031 2106056062 4212112124