| Base | Representation |
|---|---|
| bin | 11001000110110… |
| … | …011000011110000 |
| 3 | 1002100120210210021 |
| 4 | 121012303003300 |
| 5 | 1330312244100 |
| 6 | 105444013224 |
| 7 | 13303150330 |
| oct | 3106630360 |
| 9 | 1070523707 |
| 10 | 421212400 |
| 11 | 1a6844124 |
| 12 | b9091214 |
| 13 | 6935a80b |
| 14 | 3dd270c0 |
| 15 | 26ea3a1a |
| hex | 191b30f0 |
421212400 has 120 divisors (see below), whose sum is σ = 1224698400. Its totient is φ = 135905280.
The previous prime is 421212373. The next prime is 421212401. The reversal of 421212400 is 4212124.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (421212401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43176 + ... + 52024.
It is an arithmetic number, because the mean of its divisors is an integer number (10205820).
Almost surely, 2421212400 is an apocalyptic number.
421212400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 421212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612349200).
421212400 is an abundant number, since it is smaller than the sum of its proper divisors (803486000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
421212400 is a wasteful number, since it uses less digits than its factorization.
421212400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8891 (or 8880 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
The square root of 421212400 is about 20523.4597473233. The cubic root of 421212400 is about 749.6071424013.
Adding to 421212400 its reverse (4212124), we get a palindrome (425424524).
421212400 divided by its reverse (4212124) gives a square (100 = 102).
It can be divided in two parts, 42121 and 2400, that added together give a square (44521 = 2112).
The spelling of 421212400 in words is "four hundred twenty-one million, two hundred twelve thousand, four hundred".
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