121413242000 has 80 divisors (see below), whose sum is σ = 294894792192. Its totient is φ = 48347337600.

The previous prime is 121413241991. The next prime is 121413242009. The reversal of 121413242000 is 242314121.

It is an interprime number because it is at equal distance from previous prime (121413241991) and next prime (121413242009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (121413242009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309887 + ... + 582113.

Almost surely, 2^121413242000 is an apocalyptic number.

121413242000 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 121413242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147447396096).

121413242000 is an abundant number, since it is smaller than the sum of its proper divisors (173481550192).

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

121413242000 is a wasteful number, since it uses less digits than its factorization.

121413242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272473 (or 272457 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 121413242000 its reverse (242314121), we get a palindrome (121655556121).

The spelling of 121413242000 in words is "one hundred twenty-one billion, four hundred thirteen million, two hundred forty-two thousand".