1014121232124 has 480 divisors, whose sum is σ = 3312738487296. Its totient is φ = 237927191040.

The previous prime is 1014121232119. The next prime is 1014121232147. The reversal of 1014121232124 is 4212321214101.

It is a junction number, because it is equal to n+sod(n) for n = 1014121232094 and 1014121232103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 193642834 + ... + 193648070.

Almost surely, 2^{1014121232124} is an apocalyptic number.

1014121232124 is a gapful number since it is divisible by the number (14) 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 1014121232124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656369243648).

1014121232124 is an abundant number, since it is smaller than the sum of its proper divisors (2298617255172).

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

1014121232124 is a wasteful number, since it uses less digits than its factorization.

1014121232124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1014121232124 its reverse (4212321214101), we get a palindrome (5226442446225).

The spelling of 1014121232124 in words is "one trillion, fourteen billion, one hundred twenty-one million, two hundred thirty-two thousand, one hundred twenty-four".