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12355025430000 = 243541149975029
BaseRepresentation
bin1011001111001010000011…
…1001101110010111110000
31121202010110222001121010110
42303302200321232113300
53104411043002230000
642135453105101320
72413423022251131
oct263624071562760
947663428047113
1012355025430000
113a33811840090
1214765a1027840
136b80c6481916
14309db4a51c88
151665b1250850
hexb3ca0e6e5f0

12355025430000 has 400 divisors, whose sum is σ = 43597231920000. Its totient is φ = 2989115520000.

The previous prime is 12355025429977. The next prime is 12355025430043. The reversal of 12355025430000 is 3452055321.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 12355025430000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 164632486 + ... + 164707514.

It is an arithmetic number, because the mean of its divisors is an integer number (108993079800).

Almost surely, 212355025430000 is an apocalyptic number.

12355025430000 is a gapful number since it is divisible by the number (10) 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 12355025430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21798615960000).

12355025430000 is an abundant number, since it is smaller than the sum of its proper divisors (31242206490000).

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

12355025430000 is a wasteful number, since it uses less digits than its factorization.

12355025430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75570 (or 75549 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 12355025430000 its reverse (3452055321), we get a palindrome (12358477485321).

The spelling of 12355025430000 in words is "twelve trillion, three hundred fifty-five billion, twenty-five million, four hundred thirty thousand".