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12125342432 = 25728219419
BaseRepresentation
bin10110100101011101…
…00000101011100000
31011022000222012211202
423102232200223200
5144313041424212
65323104100332
7606322465400
oct132256405340
934260865752
1012125342432
115162492265
1224249046a8
1311b310c348
14830528800
154ae77e0c2
hex2d2ba0ae0

12125342432 has 72 divisors (see below), whose sum is σ = 27805974840. Its totient is φ = 5189694720.

The previous prime is 12125342407. The next prime is 12125342443. The reversal of 12125342432 is 23424352121.

It is a junction number, because it is equal to n+sod(n) for n = 12125342395 and 12125342404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1282619 + ... + 1292037.

It is an arithmetic number, because the mean of its divisors is an integer number (386194095).

Almost surely, 212125342432 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 12125342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13902987420).

12125342432 is an abundant number, since it is smaller than the sum of its proper divisors (15680632408).

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

12125342432 is an equidigital number, since it uses as much as digits as its factorization.

12125342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10264 (or 10249 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

Adding to 12125342432 its reverse (23424352121), we get a palindrome (35549694553).

The spelling of 12125342432 in words is "twelve billion, one hundred twenty-five million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 821 1568 1642 3284 5747 6568 9419 11494 13136 18838 22988 26272 37676 40229 45976 65933 75352 80458 91952 131866 150704 160916 183904 263732 301408 321832 461531 527464 643664 923062 1054928 1287328 1846124 2109856 3692248 7384496 7732999 14768992 15465998 30931996 54130993 61863992 108261986 123727984 216523972 247455968 378916951 433047944 757833902 866095888 1515667804 1732191776 3031335608 6062671216 12125342432