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12111310432 = 2513475910499
BaseRepresentation
bin10110100011110001…
…11110111001100000
31011021001120022120001
423101320332321200
5144300443413212
65321443225344
7606062303644
oct132170767140
934231508501
1012111310432
115155578871
122420078254
1311b02384a0
1482c714c24
154ad40b657
hex2d1e3ee60

12111310432 has 96 divisors (see below), whose sum is σ = 26671680000. Its totient is φ = 5377663488.

The previous prime is 12111310411. The next prime is 12111310447. The reversal of 12111310432 is 23401311121.

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, 1148319 + ... + 1158817.

It is an arithmetic number, because the mean of its divisors is an integer number (277830000).

Almost surely, 212111310432 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 12111310432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840000).

12111310432 is an abundant number, since it is smaller than the sum of its proper divisors (14560369568).

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

12111310432 is a wasteful number, since it uses less digits than its factorization.

12111310432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10628 (or 10620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12111310432 its reverse (23401311121), we get a palindrome (35512621553).

The spelling of 12111310432 in words is "twelve billion, one hundred eleven million, three hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 59 94 104 118 188 208 236 376 416 472 611 752 767 944 1222 1504 1534 1888 2444 2773 3068 4888 5546 6136 9776 10499 11092 12272 19552 20998 22184 24544 36049 41996 44368 72098 83992 88736 136487 144196 167984 272974 288392 335968 493453 545948 576784 619441 986906 1091896 1153568 1238882 1973812 2183792 2477764 3947624 4367584 4955528 6414889 7895248 8052733 9911056 12829778 15790496 16105466 19822112 25659556 29113727 32210932 51319112 58227454 64421864 102638224 116454908 128843728 205276448 232909816 257687456 378478451 465819632 756956902 931639264 1513913804 3027827608 6055655216 12111310432