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12012010102100 = 2252294142072449
BaseRepresentation
bin1010111011001100001110…
…0110000101110101010100
31120112100002122012111121202
42232303003212011311110
53033301044041231400
641314124040132032
72346560544132311
oct256630346056524
946470078174552
1012012010102100
1139112a0606318
121420011a67018
1369195c980588
142d7554aa9d08
1515c6d74d94d5
hexaecc3985d54

12012010102100 has 36 divisors (see below), whose sum is σ = 26964891649500. Its totient is φ = 4639121141760.

The previous prime is 12012010102091. The next prime is 12012010102111. The reversal of 12012010102100 is 120101021021.

12012010102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 563991988036 + 11448018114064 = 750994^2 + 3383492^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2071033325 + ... + 2071039124.

Almost surely, 212012010102100 is an apocalyptic number.

12012010102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012010102100 is an abundant number, since it is smaller than the sum of its proper divisors (14952881547400).

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

12012010102100 is a wasteful number, since it uses less digits than its factorization.

12012010102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142072492 (or 4142072485 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12012010102100 its reverse (120101021021), we get a palindrome (12132111123121).

The spelling of 12012010102100 in words is "twelve trillion, twelve billion, ten million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 4142072449 8284144898 16568289796 20710362245 41420724490 82841448980 103551811225 120120101021 207103622450 240240202042 414207244900 480480404084 600600505105 1201201010210 2402402020420 3003002525525 6006005051050 12012010102100