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121421456 = 24131374261
BaseRepresentation
bin1110011110010…
…11111010010000
322110110211220222
413033023322100
5222040441311
620014252212
73003031262
oct717137220
9273424828
10121421456
11625a2812
12347b7068
131c203c20
14121a9b32
15a9d6adb
hex73cbe90

121421456 has 40 divisors (see below), whose sum is σ = 255259704. Its totient is φ = 55618560.

The previous prime is 121421453. The next prime is 121421473. The reversal of 121421456 is 654124121.

It can be written as a sum of positive squares in 4 ways, for example, as 32307856 + 89113600 = 5684^2 + 9440^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (121421453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26366 + ... + 30626.

Almost surely, 2121421456 is an apocalyptic number.

121421456 is a gapful number since it is divisible by the number (16) 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 121421456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127629852).

121421456 is an abundant number, since it is smaller than the sum of its proper divisors (133838248).

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

121421456 is a wasteful number, since it uses less digits than its factorization.

121421456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4413 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 121421456 is about 11019.1404383464. The cubic root of 121421456 is about 495.1823373428.

Adding to 121421456 its reverse (654124121), we get a palindrome (775545577).

The spelling of 121421456 in words is "one hundred twenty-one million, four hundred twenty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 137 208 274 548 1096 1781 2192 3562 4261 7124 8522 14248 17044 28496 34088 55393 68176 110786 221572 443144 583757 886288 1167514 2335028 4670056 7588841 9340112 15177682 30355364 60710728 121421456