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121133221000 = 23531129711031
BaseRepresentation
bin111000011010000011…
…0100100010010001000
3102120122222112012110121
41300310012210102020
53441040101033000
6131351533153024
711515536250501
oct1606406442210
9376588465417
10121133221000
11474105aa900
121b58732b774
13b565bca13c
145c11a51ba8
15323e6eeb1a
hex1c341a4488

121133221000 has 192 divisors, whose sum is σ = 312186026880. Its totient is φ = 43960400000.

The previous prime is 121133220997. The next prime is 121133221031. The reversal of 121133221000 is 122331121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117490485 + ... + 117491515.

It is an arithmetic number, because the mean of its divisors is an integer number (1625968890).

Almost surely, 2121133221000 is an apocalyptic number.

121133221000 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 121133221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156093013440).

121133221000 is an abundant number, since it is smaller than the sum of its proper divisors (191052805880).

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

121133221000 is a wasteful number, since it uses less digits than its factorization.

121133221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121133221000 its reverse (122331121), we get a palindrome (121255552121).

The spelling of 121133221000 in words is "one hundred twenty-one billion, one hundred thirty-three million, two hundred twenty-one thousand".