126671211234540 has 384 divisors, whose sum is σ = 465113890160640. Its totient is φ = 28007459424000.

The previous prime is 126671211234523. The next prime is 126671211234593. The reversal of 126671211234540 is 45432112176621.

It is a happy number.

126671211234540 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 71 + 2 + 1 + 1 + 2 + 34 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 275260279 + ... + 275720081.

It is an arithmetic number, because the mean of its divisors is an integer number (1211234088960).

Almost surely, 2^{126671211234540} is an apocalyptic number.

126671211234540 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 126671211234540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232556945080320).

126671211234540 is an abundant number, since it is smaller than the sum of its proper divisors (338442678926100).

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

126671211234540 is a wasteful number, since it uses less digits than its factorization.

126671211234540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462210 (or 462202 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 126671211234540 in words is "one hundred twenty-six trillion, six hundred seventy-one billion, two hundred eleven million, two hundred thirty-four thousand, five hundred forty".