121042891200 has 1344 divisors, whose sum is σ = 535542865920. Its totient is φ = 23181312000.

The previous prime is 121042891147. The next prime is 121042891231. The reversal of 121042891200 is 2198240121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 246522955 + ... + 246523445.

Almost surely, 2^121042891200 is an apocalyptic number.

121042891200 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 121042891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267771432960).

121042891200 is an abundant number, since it is smaller than the sum of its proper divisors (414499974720).

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

121042891200 is a wasteful number, since it uses less digits than its factorization.

121042891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 121042891200 in words is "one hundred twenty-one billion, forty-two million, eight hundred ninety-one thousand, two hundred".