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121122200021100 = 22352537617748429
BaseRepresentation
bin11011100010100011110101…
…101101001110100001101100
3120212212011120101002201111220
4123202203311231032201230
5111333431231201133400
61105334434233543340
734340535013033245
oct3342436555164154
9525764511081456
10121122200021100
1135658700298683
1211702363874b50
135277a0b61a9b5
1421ca4baaa3ccc
15e009ee0957a0
hex6e28f5b4e86c

121122200021100 has 72 divisors (see below), whose sum is σ = 357059104410960. Its totient is φ = 31689833460480.

The previous prime is 121122200021089. The next prime is 121122200021101. The reversal of 121122200021100 is 1120002221121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121122200021100.

It is not an unprimeable number, because it can be changed into a prime (121122200021101) 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, 3808858315 + ... + 3808890114.

It is an arithmetic number, because the mean of its divisors is an integer number (4959154227930).

Almost surely, 2121122200021100 is an apocalyptic number.

121122200021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122200021100 is an abundant number, since it is smaller than the sum of its proper divisors (235936904389860).

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

121122200021100 is a wasteful number, since it uses less digits than its factorization.

121122200021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7617748499 (or 7617748492 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121122200021100 its reverse (1120002221121), we get a palindrome (122242202242221).

The spelling of 121122200021100 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 15900 7617748429 15235496858 22853245287 30470993716 38088742145 45706490574 76177484290 91412981148 114266226435 152354968580 190443710725 228532452870 380887421450 403740666737 457064905740 571331132175 761774842900 807481333474 1142662264350 1211222000211 1614962666948 2018703333685 2285324528700 2422444000422 4037406667370 4844888000844 6056110001055 8074813334740 10093516668425 12112220002110 20187033336850 24224440004220 30280550005275 40374066673700 60561100010550 121122200021100