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10000121220 = 22335592811117
BaseRepresentation
bin10010101000000110…
…11011110110000100
3221210220222210102000
421110003123312010
5130440012334340
64332145145300
7502545425235
oct112403336604
927726883360
1010000121220
1142718980a1
121b3102b230
13c34a306bb
146ac19508c
153d7dd3d30
hex2540dbd84

10000121220 has 192 divisors, whose sum is σ = 31779820800. Its totient is φ = 2609832960.

The previous prime is 10000121213. The next prime is 10000121233. The reversal of 10000121220 is 2212100001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8952102 + ... + 8953218.

It is an arithmetic number, because the mean of its divisors is an integer number (165519900).

Almost surely, 210000121220 is an apocalyptic number.

10000121220 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 10000121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15889910400).

10000121220 is an abundant number, since it is smaller than the sum of its proper divisors (21779699580).

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

10000121220 is a wasteful number, since it uses less digits than its factorization.

10000121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000121220 its reverse (2212100001), we get a palindrome (12212221221).

The spelling of 10000121220 in words is "ten billion, one hundred twenty-one thousand, two hundred twenty".