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121121220000 = 25354112379101
BaseRepresentation
bin111000011001101100…
…0110010010110100000
3102120122010221111012010
41300303120302112200
53441024013020000
6131350424032520
711515332245244
oct1606330622640
9376563844163
10121121220000
1147404853320
121b583302740
13b563587861
145c1020a424
15323d62dd50
hex1c336325a0

121121220000 has 960 divisors, whose sum is σ = 462523944960. Its totient is φ = 27456000000.

The previous prime is 121121219993. The next prime is 121121220013. The reversal of 121121220000 is 22121121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1199219950 + ... + 1199220050.

It is an arithmetic number, because the mean of its divisors is an integer number (481795776).

Almost surely, 2121121220000 is an apocalyptic number.

121121220000 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 121121220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231261972480).

121121220000 is an abundant number, since it is smaller than the sum of its proper divisors (341402724960).

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

121121220000 is a wasteful number, since it uses less digits than its factorization.

121121220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121121220000 its reverse (22121121), we get a palindrome (121143341121).

The spelling of 121121220000 in words is "one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty thousand".