6123130476540 has 288 divisors, whose sum is σ = 22113672634368. Its totient is φ = 1251480384000.

The previous prime is 6123130476431. The next prime is 6123130476559. The reversal of 6123130476540 is 456740313216.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6123130476492 and 6123130476501.

It is a congruent number.

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, 420805 + ... + 3524675.

It is an arithmetic number, because the mean of its divisors is an integer number (76783585536).

Almost surely, 2^{6123130476540} is an apocalyptic number.

6123130476540 is a gapful number since it is divisible by the number (60) 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 6123130476540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11056836317184).

6123130476540 is an abundant number, since it is smaller than the sum of its proper divisors (15990542157828).

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

6123130476540 is a wasteful number, since it uses less digits than its factorization.

6123130476540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103969 (or 3103960 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

Adding to 6123130476540 its reverse (456740313216), we get a palindrome (6579870789756).

The spelling of 6123130476540 in words is "six trillion, one hundred twenty-three billion, one hundred thirty million, four hundred seventy-six thousand, five hundred forty".