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121220404000 = 2553171979049
BaseRepresentation
bin111000011100101001…
…1001001001100100000
3102120220001120120001121
41300321103021030200
53441224410412000
6131404325542024
711520645301363
oct1607123111440
9376801516047
10121220404000
1147455837773
121b5b0574914
13b57aca3b07
145c1d4680da
1532471c1b1a
hex1c394c9320

121220404000 has 192 divisors, whose sum is σ = 316994277600. Its totient is φ = 45399244800.

The previous prime is 121220403961. The next prime is 121220404033. The reversal of 121220404000 is 404022121.

It can be written as a sum of positive squares in 16 ways, for example, as 21725580816 + 99494823184 = 147396^2 + 315428^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 13391476 + ... + 13400524.

Almost surely, 2121220404000 is an apocalyptic number.

121220404000 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 121220404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158497138800).

121220404000 is an abundant number, since it is smaller than the sum of its proper divisors (195773873600).

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

121220404000 is a wasteful number, since it uses less digits than its factorization.

121220404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9288 (or 9270 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 121220404000 its reverse (404022121), we get a palindrome (121624426121).

The spelling of 121220404000 in words is "one hundred twenty-one billion, two hundred twenty million, four hundred four thousand".