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12101012 = 22711101389
BaseRepresentation
bin101110001010…
…010110010100
3211202210110122
4232022112110
511044213022
61111211112
7204566630
oct56122624
924683418
1012101012
116915740
124076a98
132678c81
14186ddc0
1510e0742
hexb8a594

12101012 has 48 divisors (see below), whose sum is σ = 26732160. Its totient is φ = 4656000.

The previous prime is 12101009. The next prime is 12101021. The reversal of 12101012 is 21010121.

12101012 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30914 + ... + 31302.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 212101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

12101012 is an abundant number, since it is smaller than the sum of its proper divisors (14631148).

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

12101012 is a wasteful number, since it uses less digits than its factorization.

12101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 12101012 is about 3478.6508879162. The cubic root of 12101012 is about 229.5834426178.

Adding to 12101012 its reverse (21010121), we get a palindrome (33111133).

It can be divided in two parts, 1210 and 1012, that added together give a palindrome (2222).

The spelling of 12101012 in words is "twelve million, one hundred one thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 308 389 404 707 778 1111 1414 1556 2222 2723 2828 4279 4444 5446 7777 8558 10892 15554 17116 29953 31108 39289 59906 78578 119812 157156 275023 432179 550046 864358 1100092 1728716 3025253 6050506 12101012