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121322340 = 223351991129
BaseRepresentation
bin1110011101100…
…11101101100100
322110021210222000
413032303231210
5222024303330
620012205300
73002136306
oct716635544
9273253860
10121322340
11625352a7
1234769830
131c19aa89
1412181976
15a9b7560
hex73b3b64

121322340 has 96 divisors (see below), whose sum is σ = 379680000. Its totient is φ = 32161536.

The previous prime is 121322339. The next prime is 121322347. The reversal of 121322340 is 43223121.

121322340 is a `hidden beast` number, since 1 + 2 + 1 + 322 + 340 = 666.

It is a super-2 number, since 2×1213223402 = 29438220366151200, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 106896 + ... + 108024.

It is an arithmetic number, because the mean of its divisors is an integer number (3955000).

Almost surely, 2121322340 is an apocalyptic number.

121322340 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 121322340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189840000).

121322340 is an abundant number, since it is smaller than the sum of its proper divisors (258357660).

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

121322340 is a wasteful number, since it uses less digits than its factorization.

121322340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 121322340 is about 11014.6420731679. The cubic root of 121322340 is about 495.0475620047.

Adding to 121322340 its reverse (43223121), we get a palindrome (164545461).

The spelling of 121322340 in words is "one hundred twenty-one million, three hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 199 270 398 540 597 796 995 1129 1194 1791 1990 2258 2388 2985 3387 3582 3980 4516 5373 5645 5970 6774 7164 8955 10161 10746 11290 11940 13548 16935 17910 20322 21492 22580 26865 30483 33870 35820 40644 50805 53730 60966 67740 101610 107460 121932 152415 203220 224671 304830 449342 609660 674013 898684 1123355 1348026 2022039 2246710 2696052 3370065 4044078 4493420 6066117 6740130 8088156 10110195 12132234 13480260 20220390 24264468 30330585 40440780 60661170 121322340