121101826560 has 320 divisors, whose sum is σ = 454834638720. Its totient is φ = 27099463680.

The previous prime is 121101826513. The next prime is 121101826577. The reversal of 121101826560 is 65628101121.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1043106 + ... + 1153374.

It is an arithmetic number, because the mean of its divisors is an integer number (1421358246).

Almost surely, 2^121101826560 is an apocalyptic number.

121101826560 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 121101826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227417319360).

121101826560 is an abundant number, since it is smaller than the sum of its proper divisors (333732812160).

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

121101826560 is a wasteful number, since it uses less digits than its factorization.

121101826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110319 (or 110303 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

Adding to 121101826560 its reverse (65628101121), we get a palindrome (186729927681).

The spelling of 121101826560 in words is "one hundred twenty-one billion, one hundred one million, eight hundred twenty-six thousand, five hundred sixty".