121113535141200 has 2880 divisors, whose sum is σ = 489052968392448. Its totient is φ = 25505877196800.

The previous prime is 121113535141141. The next prime is 121113535141211. The reversal of 121113535141200 is 2141535311121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 471258891472 + ... + 471258891728.

Almost surely, 2^{121113535141200} is an apocalyptic number.

121113535141200 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 121113535141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244526484196224).

121113535141200 is an abundant number, since it is smaller than the sum of its proper divisors (367939433251248).

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

121113535141200 is a wasteful number, since it uses less digits than its factorization.

121113535141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 121113535141200 in words is "one hundred twenty-one trillion, one hundred thirteen billion, five hundred thirty-five million, one hundred forty-one thousand, two hundred".