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121332200 = 235211131421
BaseRepresentation
bin1110011101101…
…10000111101000
322110022022111012
413032312013220
5222030112300
620012323052
73002210123
oct716660750
9273268435
10121332200
1162541750
1234773488
131c1a2402
14121853ba
15a9ba435
hex73b61e8

121332200 has 96 divisors (see below), whose sum is σ = 310828320. Its totient is φ = 43680000.

The previous prime is 121332193. The next prime is 121332203. The reversal of 121332200 is 2233121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121332203) 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, 287990 + ... + 288410.

It is an arithmetic number, because the mean of its divisors is an integer number (3237795).

Almost surely, 2121332200 is an apocalyptic number.

121332200 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 121332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155414160).

121332200 is an abundant number, since it is smaller than the sum of its proper divisors (189496120).

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

121332200 is a wasteful number, since it uses less digits than its factorization.

121332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 121332200 is about 11015.0896501118. The cubic root of 121332200 is about 495.0609726613.

Adding to 121332200 its reverse (2233121), we get a palindrome (123565321).

The spelling of 121332200 in words is "one hundred twenty-one million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 131 200 220 262 275 421 440 524 550 655 842 1048 1100 1310 1441 1684 2105 2200 2620 2882 3275 3368 4210 4631 5240 5764 6550 7205 8420 9262 10525 11528 13100 14410 16840 18524 21050 23155 26200 28820 36025 37048 42100 46310 55151 57640 72050 84200 92620 110302 115775 144100 185240 220604 231550 275755 288200 441208 463100 551510 606661 926200 1103020 1213322 1378775 2206040 2426644 2757550 3033305 4853288 5515100 6066610 11030200 12133220 15166525 24266440 30333050 60666100 121332200