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12101213424 = 243435939887
BaseRepresentation
bin10110100010100100…
…11101110011110000
31011020100120100001210
423101102131303300
5144240402312144
65320443000120
7605610421416
oct132122356360
934210510053
1012101213424
11514a901833
122418809040
1311ab111721
1482b2472b6
154ac5b4ab9
hex2d149dcf0

12101213424 has 80 divisors (see below), whose sum is σ = 32045663232. Its totient is φ = 3932888064.

The previous prime is 12101213419. The next prime is 12101213441. The reversal of 12101213424 is 42431210121.

12101213424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12101213424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1219009 + ... + 1228895.

Almost surely, 212101213424 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 12101213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16022831616).

12101213424 is an abundant number, since it is smaller than the sum of its proper divisors (19944449808).

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

12101213424 is a wasteful number, since it uses less digits than its factorization.

12101213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534 (or 10528 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12101213424 its reverse (42431210121), we get a palindrome (54532423545).

The spelling of 12101213424 in words is "twelve billion, one hundred one million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 593 688 1032 1186 1779 2064 2372 3558 4744 7116 9488 9887 14232 19774 25499 28464 29661 39548 50998 59322 76497 79096 101996 118644 152994 158192 203992 237288 305988 407984 425141 474576 611976 850282 1223952 1275423 1700564 2550846 3401128 5101692 5862991 6802256 10203384 11725982 17588973 20406768 23451964 35177946 46903928 70355892 93807856 140711784 252108613 281423568 504217226 756325839 1008434452 1512651678 2016868904 3025303356 4033737808 6050606712 12101213424