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121131320202000 = 243253311015034273
BaseRepresentation
bin11011100010101100010101…
…010011111101001100010000
3120212220001002222022220201200
4123202230111103331030100
5111334103420432431000
61105342543231031200
734341310015221033
oct3342542523751420
9525801088286650
10121131320202000
1135661560404569
121170408a06b500
135278832c59344
1421cab0404101a
15e00d84ab1500
hex6e2b154fd310

121131320202000 has 960 divisors, whose sum is σ = 442022980718592. Its totient is φ = 30881433600000.

The previous prime is 121131320201939. The next prime is 121131320202089. The reversal of 121131320202000 is 202023131121.

121131320202000 is a `hidden beast` number, since 12 + 1 + 131 + 320 + 2 + 0 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28348071864 + ... + 28348076136.

Almost surely, 2121131320202000 is an apocalyptic number.

121131320202000 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 121131320202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221011490359296).

121131320202000 is an abundant number, since it is smaller than the sum of its proper divisors (320891660516592).

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

121131320202000 is a wasteful number, since it uses less digits than its factorization.

121131320202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121131320202000 its reverse (202023131121), we get a palindrome (121333343333121).

The spelling of 121131320202000 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, three hundred twenty million, two hundred two thousand".