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12012010100100 = 223252192341744917
BaseRepresentation
bin1010111011001100001110…
…0110000101010110000100
31120112100002122012101212200
42232303003212011112010
53033301044041200400
641314124040114500
72346560544123423
oct256630346052604
946470078171780
1012012010100100
1139112a060486a
121420011a65a30
1369195c97c6aa
142d7554aa92ba
1515c6d74d8b00
hexaecc3985584

12012010100100 has 432 divisors, whose sum is σ = 42364499748480. Its totient is φ = 2831872665600.

The previous prime is 12012010100071. The next prime is 12012010100147. The reversal of 12012010100100 is 100101021021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15752842 + ... + 16497758.

It is an arithmetic number, because the mean of its divisors is an integer number (98065971640).

Almost surely, 212012010100100 is an apocalyptic number.

12012010100100 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 12012010100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21182249874240).

12012010100100 is an abundant number, since it is smaller than the sum of its proper divisors (30352489648380).

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

12012010100100 is a wasteful number, since it uses less digits than its factorization.

12012010100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745020 (or 745010 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12012010100100 its reverse (100101021021), we get a palindrome (12112111121121).

The spelling of 12012010100100 in words is "twelve trillion, twelve billion, ten million, one hundred thousand, one hundred".