121522842000 has 960 divisors, whose sum is σ = 514008768000. Its totient is φ = 27776649600.

The previous prime is 121522841981. The next prime is 121522842059. The reversal of 121522842000 is 248225121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

121522842000 is a `hidden beast` number, since 1 + 2 + 15 + 228 + 420 + 0 + 0 = 666.

It is a super-2 number, since 2×121522842000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17360405997 + ... + 17360406003.

It is an arithmetic number, because the mean of its divisors is an integer number (535425800).

Almost surely, 2^121522842000 is an apocalyptic number.

121522842000 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 121522842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257004384000).

121522842000 is an abundant number, since it is smaller than the sum of its proper divisors (392485926000).

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

121522842000 is an frugal number, since it uses more digits than its factorization.

121522842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 121522842000 in words is "one hundred twenty-one billion, five hundred twenty-two million, eight hundred forty-two thousand".