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1232121420 = 2232537918061
BaseRepresentation
bin100100101110000…
…1010111001001100
310011212110020211200
41021130022321030
510010410341140
6322132345500
742350600505
oct11134127114
93155406750
101232121420
11582556072
122a4775290
1316835cc3a
14b98d1bac
1573283030
hex4970ae4c

1232121420 has 72 divisors (see below), whose sum is σ = 3747503760. Its totient is φ = 327680640.

The previous prime is 1232121389. The next prime is 1232121421. The reversal of 1232121420 is 241212321.

It is a happy number.

1232121420 is a `hidden beast` number, since 1 + 232 + 12 + 1 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1232121393 and 1232121402.

It is not an unprimeable number, because it can be changed into a prime (1232121421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59190 + ... + 77250.

Almost surely, 21232121420 is an apocalyptic number.

1232121420 is a gapful number since it is divisible by the number (10) 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 1232121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873751880).

1232121420 is an abundant number, since it is smaller than the sum of its proper divisors (2515382340).

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

1232121420 is a wasteful number, since it uses less digits than its factorization.

1232121420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18455 (or 18450 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1232121420 is about 35101.5871436036. The cubic root of 1232121420 is about 1072.0568988047.

Adding to 1232121420 its reverse (241212321), we get a palindrome (1473333741).

Subtracting from 1232121420 its reverse (241212321), we obtain a palindrome (990909099).

The spelling of 1232121420 in words is "one billion, two hundred thirty-two million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 379 758 1137 1516 1895 2274 3411 3790 4548 5685 6822 7580 11370 13644 17055 18061 22740 34110 36122 54183 68220 72244 90305 108366 162549 180610 216732 270915 325098 361220 541830 650196 812745 1083660 1625490 3250980 6845119 13690238 20535357 27380476 34225595 41070714 61606071 68451190 82141428 102676785 123212142 136902380 205353570 246424284 308030355 410707140 616060710 1232121420