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121213344 = 2537612957
BaseRepresentation
bin1110011100110…
…01000110100000
322110002021110010
413032121012200
5222012311334
620010004520
73001203450
oct716310640
9273067403
10121213344
116247041a
1234716740
131c160295
1412153d60
15a9950e9
hex73991a0

121213344 has 96 divisors (see below), whose sum is σ = 369726336. Its totient is φ = 34053120.

The previous prime is 121213333. The next prime is 121213397. The reversal of 121213344 is 443312121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121213344.

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, 39514 + ... + 42470.

It is an arithmetic number, because the mean of its divisors is an integer number (3851316).

Almost surely, 2121213344 is an apocalyptic number.

121213344 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 121213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184863168).

121213344 is an abundant number, since it is smaller than the sum of its proper divisors (248512992).

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

121213344 is a wasteful number, since it uses less digits than its factorization.

121213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3030 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 121213344 is about 11009.6931837359. The cubic root of 121213344 is about 494.8992673300.

Adding to 121213344 its reverse (443312121), we get a palindrome (564525465).

The spelling of 121213344 in words is "one hundred twenty-one million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2562 2928 2957 3416 5124 5856 5914 6832 8871 10248 11828 13664 17742 20496 20699 23656 35484 40992 41398 47312 62097 70968 82796 94624 124194 141936 165592 180377 248388 283872 331184 360754 496776 541131 662368 721508 993552 1082262 1262639 1443016 1987104 2164524 2525278 2886032 3787917 4329048 5050556 5772064 7575834 8658096 10101112 15151668 17316192 20202224 30303336 40404448 60606672 121213344