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12101203424 = 2537611371223
BaseRepresentation
bin10110100010100100…
…11011010111100000
31011020100112211100102
423101102123113200
5144240402002144
65320442441532
7605610350312
oct132122332740
934210484312
1012101203424
11514a8a5272
1224188032a8
1311ab109ccb
1482b2437b2
154ac5b1b4e
hex2d149b5e0

12101203424 has 96 divisors (see below), whose sum is σ = 25071270336. Its totient is φ = 5743595520.

The previous prime is 12101203421. The next prime is 12101203451. The reversal of 12101203424 is 42430210121.

It is a junction number, because it is equal to n+sod(n) for n = 12101203396 and 12101203405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101203421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9894077 + ... + 9895299.

It is an arithmetic number, because the mean of its divisors is an integer number (261159066).

Almost surely, 212101203424 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 12101203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12535635168).

12101203424 is an abundant number, since it is smaller than the sum of its proper divisors (12970066912).

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

12101203424 is a wasteful number, since it uses less digits than its factorization.

12101203424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12101203424 its reverse (42430210121), we get a palindrome (54531413545).

The spelling of 12101203424 in words is "twelve billion, one hundred one million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 61 74 122 137 148 244 274 296 488 548 592 976 1096 1184 1223 1952 2192 2257 2446 4384 4514 4892 5069 8357 9028 9784 10138 16714 18056 19568 20276 33428 36112 39136 40552 45251 66856 72224 74603 81104 90502 133712 149206 162208 167551 181004 267424 298412 309209 335102 362008 596824 618418 670204 724016 1193648 1236836 1340408 1448032 2387296 2473672 2680816 2760311 4947344 5361632 5520622 6199387 9894688 10220611 11041244 12398774 20441222 22082488 24797548 40882444 44164976 49595096 81764888 88329952 99190192 163529776 198380384 327059552 378162607 756325214 1512650428 3025300856 6050601712 12101203424