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12201022121100 = 2235240670073737
BaseRepresentation
bin1011000110001100010110…
…0101101110010010001100
31121012101222012122220211220
42301203011211232102030
53044400143130333400
641541023331443340
72366331462602301
oct261430545562214
947171865586756
1012201022121100
1139844739a878a
121450781756550
136a67226c2937
143027657290a8
1516259ae957a0
hexb18c596e48c

12201022121100 has 36 divisors (see below), whose sum is σ = 35301624004584. Its totient is φ = 3253605898880.

The previous prime is 12201022121069. The next prime is 12201022121107. The reversal of 12201022121100 is 112122010221.

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 12201022121100.

It is not an unprimeable number, because it can be changed into a prime (12201022121107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20335036569 + ... + 20335037168.

It is an arithmetic number, because the mean of its divisors is an integer number (980600666794).

Almost surely, 212201022121100 is an apocalyptic number.

12201022121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201022121100 is an abundant number, since it is smaller than the sum of its proper divisors (23100601883484).

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

12201022121100 is a wasteful number, since it uses less digits than its factorization.

12201022121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40670073754 (or 40670073747 counting only the distinct ones).

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

Adding to 12201022121100 its reverse (112122010221), we get a palindrome (12313144131321).

The spelling of 12201022121100 in words is "twelve trillion, two hundred one billion, twenty-two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 40670073737 81340147474 122010221211 162680294948 203350368685 244020442422 406700737370 488040884844 610051106055 813401474740 1016751843425 1220102212110 2033503686850 2440204424220 3050255530275 4067007373700 6100511060550 12201022121100