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123013234211232 = 2534567280575401
BaseRepresentation
bin11011111110000101000000…
…001000001011100110100000
3121010112221122210112220021010
4123332011000020023212200
5112110422100424224412
61113343255531300520
734624261422321411
oct3376050010134640
9533487583486233
10123013234211232
113621768a844742
12119689572aa740
135384137a035a1
142253c2d85b808
15e34ccab6233c
hex6fe14020b9a0

123013234211232 has 48 divisors (see below), whose sum is σ = 322980445956672. Its totient is φ = 40995432844800.

The previous prime is 123013234211177. The next prime is 123013234211239. The reversal of 123013234211232 is 232112432310321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1230132342112322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123013234211232.

It is not an unprimeable number, because it can be changed into a prime (123013234211239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139849269 + ... + 140726132.

It is an arithmetic number, because the mean of its divisors is an integer number (6728759290764).

Almost surely, 2123013234211232 is an apocalyptic number.

123013234211232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123013234211232 is an abundant number, since it is smaller than the sum of its proper divisors (199967211745440).

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

123013234211232 is a wasteful number, since it uses less digits than its factorization.

123013234211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280579981 (or 280579973 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 123013234211232 its reverse (232112432310321), we get a palindrome (355125666521553).

The spelling of 123013234211232 in words is "one hundred twenty-three trillion, thirteen billion, two hundred thirty-four million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4567 9134 13701 18268 27402 36536 54804 73072 109608 146144 219216 438432 280575401 561150802 841726203 1122301604 1683452406 2244603208 3366904812 4489206416 6733809624 8978412832 13467619248 26935238496 1281387856367 2562775712734 3844163569101 5125551425468 7688327138202 10251102850936 15376654276404 20502205701872 30753308552808 41004411403744 61506617105616 123013234211232