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121202132000 = 255370942737
BaseRepresentation
bin111000011100000110…
…1011100010000100000
3102120211210012020120212
41300320031130100200
53441210221211000
6131402434153252
711520334060265
oct1607015342040
9376753166525
10121202132000
1147446497744
121b5a6422828
13b577277091
145c1ac6d26c
1532457b2c35
hex1c3835c420

121202132000 has 96 divisors (see below), whose sum is σ = 298220635440. Its totient is φ = 48411340800.

The previous prime is 121202131997. The next prime is 121202132003. The reversal of 121202132000 is 231202121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121202131997) and next prime (121202132003).

It can be written as a sum of positive squares in 8 ways, for example, as 1034522896 + 120167609104 = 32164^2 + 346652^2 .

It is not an unprimeable number, because it can be changed into a prime (121202132003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2814632 + ... + 2857368.

Almost surely, 2121202132000 is an apocalyptic number.

121202132000 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 121202132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149110317720).

121202132000 is an abundant number, since it is smaller than the sum of its proper divisors (177018503440).

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

121202132000 is an equidigital number, since it uses as much as digits as its factorization.

121202132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43471 (or 43453 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 121202132000 its reverse (231202121), we get a palindrome (121433334121).

The spelling of 121202132000 in words is "one hundred twenty-one billion, two hundred two million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 709 800 1000 1418 2000 2836 3545 4000 5672 7090 11344 14180 17725 22688 28360 35450 42737 56720 70900 85474 88625 113440 141800 170948 177250 213685 283600 341896 354500 427370 567200 683792 709000 854740 1068425 1367584 1418000 1709480 2136850 2836000 3418960 4273700 5342125 6837920 8547400 10684250 17094800 21368500 30300533 34189600 42737000 60601066 85474000 121202132 151502665 170948000 242404264 303005330 484808528 606010660 757513325 969617056 1212021320 1515026650 2424042640 3030053300 3787566625 4848085280 6060106600 7575133250 12120213200 15150266500 24240426400 30300533000 60601066000 121202132000