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121322344 = 231121331311
BaseRepresentation
bin1110011101100…
…11101101101000
322110021210222011
413032303231220
5222024303334
620012205304
73002136313
oct716635550
9273253864
10121322344
1162535300
1234769834
131c19aa90
141218197a
15a9b7564
hex73b3b68

121322344 has 96 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 49104000.

The previous prime is 121322339. The next prime is 121322347. The reversal of 121322344 is 443223121.

It is a super-2 number, since 2×1213223442 = 29438222307308672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (121322347) 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, 389949 + ... + 390259.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2121322344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121322344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

121322344 is an abundant number, since it is smaller than the sum of its proper divisors (157530776).

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

121322344 is a wasteful number, since it uses less digits than its factorization.

121322344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 121322344 is about 11014.6422547444. The cubic root of 121322344 is about 495.0475674453.

Adding to 121322344 its reverse (443223121), we get a palindrome (564545465).

The spelling of 121322344 in words is "one hundred twenty-one million, three hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 121 124 143 242 248 286 311 341 403 484 572 622 682 806 968 1144 1244 1364 1573 1612 2488 2728 3146 3224 3421 3751 4043 4433 6292 6842 7502 8086 8866 9641 12584 13684 15004 16172 17732 19282 27368 30008 32344 35464 37631 38564 44473 48763 75262 77128 88946 97526 106051 125333 150524 177892 195052 212102 250666 301048 355784 390104 424204 489203 501332 848408 978406 1002664 1166561 1378663 1956812 2333122 2757326 3913624 4666244 5514652 9332488 11029304 15165293 30330586 60661172 121322344