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121301343400 = 235210155710781
BaseRepresentation
bin111000011111000011…
…1111001110010101000
3102121002200212201001011
41300332013321302220
53441411120442100
6131420340433304
711522650256326
oct1607607716250
9377080781034
10121301343400
114749749a736
121b6136a8834
13b5919a2953
145c2a0d6d16
15324e35dbba
hex1c3e1f9ca8

121301343400 has 96 divisors (see below), whose sum is σ = 285355765080. Its totient is φ = 47949440000.

The previous prime is 121301343377. The next prime is 121301343413. The reversal of 121301343400 is 4343103121.

It can be written as a sum of positive squares in 12 ways, for example, as 4407100996 + 116894242404 = 66386^2 + 341898^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11246010 + ... + 11256790.

Almost surely, 2121301343400 is an apocalyptic number.

121301343400 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 121301343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142677882540).

121301343400 is an abundant number, since it is smaller than the sum of its proper divisors (164054421680).

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

121301343400 is a wasteful number, since it uses less digits than its factorization.

121301343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11455 (or 11446 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 121301343400 its reverse (4343103121), we get a palindrome (125644446521).

The spelling of 121301343400 in words is "one hundred twenty-one billion, three hundred one million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 557 808 1010 1114 2020 2228 2525 2785 4040 4456 5050 5570 10100 10781 11140 13925 20200 21562 22280 27850 43124 53905 55700 56257 86248 107810 111400 112514 215620 225028 269525 281285 431240 450056 539050 562570 1078100 1088881 1125140 1406425 2156200 2177762 2250280 2812850 4355524 5444405 5625700 6005017 8711048 10888810 11251400 12010034 21777620 24020068 27222025 30025085 43555240 48040136 54444050 60050170 108888100 120100340 150125425 217776200 240200680 300250850 600501700 606506717 1201003400 1213013434 2426026868 3032533585 4852053736 6065067170 12130134340 15162667925 24260268680 30325335850 60650671700 121301343400