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121340402200 = 23522940951151
BaseRepresentation
bin111000100000001110…
…0111001101000011000
3102121012102101002122101
41301000130321220120
53442001120332300
6131424253533144
711523633254353
oct1610034715030
9377172332571
10121340402200
1147507548136
121b6247a41b4
13b599ac9c74
145c3138329a
1532529c6b6a
hex1c40739a18

121340402200 has 96 divisors (see below), whose sum is σ = 292563864000. Its totient is φ = 46747008000.

The previous prime is 121340402153. The next prime is 121340402201. The reversal of 121340402200 is 2204043121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121340402201) 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, 2346625 + ... + 2397775.

It is an arithmetic number, because the mean of its divisors is an integer number (3047540250).

Almost surely, 2121340402200 is an apocalyptic number.

121340402200 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 121340402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146281932000).

121340402200 is an abundant number, since it is smaller than the sum of its proper divisors (171223461800).

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

121340402200 is a wasteful number, since it uses less digits than its factorization.

121340402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51605 (or 51596 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 121340402200 its reverse (2204043121), we get a palindrome (123544445321).

The spelling of 121340402200 in words is "one hundred twenty-one billion, three hundred forty million, four hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 409 580 725 818 1160 1450 1636 2045 2900 3272 4090 5800 8180 10225 11861 16360 20450 23722 40900 47444 51151 59305 81800 94888 102302 118610 204604 237220 255755 296525 409208 474440 511510 593050 1023020 1186100 1278775 1483379 2046040 2372200 2557550 2966758 5115100 5933516 7416895 10230200 11867032 14833790 20920759 29667580 37084475 41841518 59335160 74168950 83683036 104603795 148337900 167366072 209207590 296675800 418415180 523018975 606702011 836830360 1046037950 1213404022 2092075900 2426808044 3033510055 4184151800 4853616088 6067020110 12134040220 15167550275 24268080440 30335100550 60670201100 121340402200