121414542000 has 160 divisors (see below), whose sum is σ = 400544601600. Its totient is φ = 31624185600.

The previous prime is 121414541951. The next prime is 121414542017. The reversal of 121414542000 is 245414121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22701 + ... + 493299.

It is an arithmetic number, because the mean of its divisors is an integer number (2503403760).

Almost surely, 2^121414542000 is an apocalyptic number.

121414542000 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 121414542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200272300800).

121414542000 is an abundant number, since it is smaller than the sum of its proper divisors (279130059600).

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

121414542000 is a wasteful number, since it uses less digits than its factorization.

121414542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470668 (or 470652 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 121414542000 its reverse (245414121), we get a palindrome (121659956121).

The spelling of 121414542000 in words is "one hundred twenty-one billion, four hundred fourteen million, five hundred forty-two thousand".