124014400121340 has 384 divisors, whose sum is σ = 419608908472320. Its totient is φ = 30280363094016.

The previous prime is 124014400121327. The next prime is 124014400121351. The reversal of 124014400121340 is 43121004410421.

124014400121340 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 1 + 4 + 400 + 1 + 213 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 3879920199 + ... + 3879952161.

It is an arithmetic number, because the mean of its divisors is an integer number (1092731532480).

Almost surely, 2^{124014400121340} is an apocalyptic number.

124014400121340 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 124014400121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209804454236160).

124014400121340 is an abundant number, since it is smaller than the sum of its proper divisors (295594508350980).

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

124014400121340 is a wasteful number, since it uses less digits than its factorization.

124014400121340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43458 (or 43450 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 124014400121340 its reverse (43121004410421), we get a palindrome (167135404531761).

The spelling of 124014400121340 in words is "one hundred twenty-four trillion, fourteen billion, four hundred million, one hundred twenty-one thousand, three hundred forty".