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121432420 = 225192231433
BaseRepresentation
bin1110011110011…
…10100101100100
322110111101222001
413033032211210
5222041314140
620014415044
73003105244
oct717164544
9273441861
10121432420
11625aaa7a
1234801484
131c208c05
14121adb24
15a9d9e9a
hex73ce964

121432420 has 48 divisors (see below), whose sum is σ = 269821440. Its totient is φ = 45778176.

The previous prime is 121432393. The next prime is 121432453. The reversal of 121432420 is 24234121.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 84024 + ... + 85456.

It is an arithmetic number, because the mean of its divisors is an integer number (5621280).

Almost surely, 2121432420 is an apocalyptic number.

121432420 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 121432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134910720).

121432420 is an abundant number, since it is smaller than the sum of its proper divisors (148389020).

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

121432420 is a wasteful number, since it uses less digits than its factorization.

121432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 121432420 is about 11019.6379250863. The cubic root of 121432420 is about 495.1972413966.

Adding to 121432420 its reverse (24234121), we get a palindrome (145666541).

The spelling of 121432420 in words is "one hundred twenty-one million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 223 380 446 892 1115 1433 2230 2866 4237 4460 5732 7165 8474 14330 16948 21185 27227 28660 42370 54454 84740 108908 136135 272270 319559 544540 639118 1278236 1597795 3195590 6071621 6391180 12143242 24286484 30358105 60716210 121432420