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12212123232 = 253196799929
BaseRepresentation
bin10110101111110011…
…00011011001100000
31011112002021010201110
423113321203121200
5200002300420412
65335444103320
7611425222551
oct132771433140
934462233643
1012212123232
1151a7474a31
122449994b40
1311c80a4c2a
1483bc78328
154b71c1d3c
hex2d7e63660

12212123232 has 96 divisors (see below), whose sum is σ = 34248009600. Its totient is φ = 3798862848.

The previous prime is 12212123197. The next prime is 12212123279. The reversal of 12212123232 is 23232121221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12212123199 and 12212123208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72244 + ... + 172172.

It is an arithmetic number, because the mean of its divisors is an integer number (356750100).

Almost surely, 212212123232 is an apocalyptic number.

12212123232 is a gapful number since it is divisible by the number (12) 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 12212123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124004800).

12212123232 is an abundant number, since it is smaller than the sum of its proper divisors (22035886368).

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

12212123232 is a wasteful number, since it uses less digits than its factorization.

12212123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100028 (or 100020 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

Adding to 12212123232 its reverse (23232121221), we get a palindrome (35444244453).

The spelling of 12212123232 in words is "twelve billion, two hundred twelve million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 67 76 96 114 134 152 201 228 268 304 402 456 536 608 804 912 1072 1273 1608 1824 2144 2546 3216 3819 5092 6432 7638 10184 15276 20368 30552 40736 61104 99929 122208 199858 299787 399716 599574 799432 1199148 1598864 1898651 2398296 3197728 3797302 4796592 5695953 6695243 7594604 9593184 11391906 13390486 15189208 20085729 22783812 26780972 30378416 40171458 45567624 53561944 60756832 80342916 91135248 107123888 127209617 160685832 182270496 214247776 254419234 321371664 381628851 508838468 642743328 763257702 1017676936 1526515404 2035353872 3053030808 4070707744 6106061616 12212123232