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121221324 = 223273713001
BaseRepresentation
bin1110011100110…
…11000011001100
322110002200101200
413032123003030
5222013040244
620010105500
73001235640
oct716330314
9273080350
10121221324
1162476414
123471b290
131c163ac3
1412156c20
15a997669
hex739b0cc

121221324 has 72 divisors (see below), whose sum is σ = 359687328. Its totient is φ = 33696000.

The previous prime is 121221283. The next prime is 121221337. The reversal of 121221324 is 423122121.

It is a happy number.

121221324 is a `hidden beast` number, since 121 + 221 + 324 = 666.

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

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 = 121221297 and 121221306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2824 + ... + 15824.

Almost surely, 2121221324 is an apocalyptic number.

121221324 is a gapful number since it is divisible by the number (14) 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 121221324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179843664).

121221324 is an abundant number, since it is smaller than the sum of its proper divisors (238466004).

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

121221324 is a wasteful number, since it uses less digits than its factorization.

121221324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13055 (or 13050 counting only the distinct ones).

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

The square root of 121221324 is about 11010.0555856907. The cubic root of 121221324 is about 494.9101275466.

Adding to 121221324 its reverse (423122121), we get a palindrome (544343445).

It can be divided in two parts, 121 and 221324, that added together give a triangular number (221445 = T665).

The spelling of 121221324 in words is "one hundred twenty-one million, two hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 9324 13001 26002 39003 52004 78006 91007 117009 156012 182014 234018 273021 364028 468036 481037 546042 819063 962074 1092084 1443111 1638126 1924148 2886222 3276252 3367259 4329333 5772444 6734518 8658666 10101777 13469036 17317332 20203554 30305331 40407108 60610662 121221324