126602541012330 has 192 divisors, whose sum is σ = 335786789520000. Its totient is φ = 33085291147776.

The previous prime is 126602541012307. The next prime is 126602541012341. The reversal of 126602541012330 is 33210145206621.

126602541012330 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 0 + 2 + 5 + 410 + 1 + 233 + 0 = 666.

It is a super-2 number, since 2×126602541012330² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13441182361 + ... + 13441191779.

It is an arithmetic number, because the mean of its divisors is an integer number (1748889528750).

Almost surely, 2^{126602541012330} is an apocalyptic number.

126602541012330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126602541012330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167893394760000).

126602541012330 is an abundant number, since it is smaller than the sum of its proper divisors (209184248507670).

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

126602541012330 is a wasteful number, since it uses less digits than its factorization.

126602541012330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17093 (or 17090 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 126602541012330 its reverse (33210145206621), we get a palindrome (159812686218951).

The spelling of 126602541012330 in words is "one hundred twenty-six trillion, six hundred two billion, five hundred forty-one million, twelve thousand, three hundred thirty".