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121022200200120 = 233510994716675861
BaseRepresentation
bin11011100001000110101101…
…010000001011101110111000
3120212111121110012210110211120
4123201012231100023232320
5111330311431222400440
61105220455314425240
734330364640421542
oct3341065520135670
9525447405713746
10121022200200120
113561a254a7502a
12116a6ab5b92220
13526b462b718ab
1421c5711a8c692
15ded0e9d93dd0
hex6e11ad40bbb8

121022200200120 has 256 divisors, whose sum is σ = 367067034892800. Its totient is φ = 31918133237760.

The previous prime is 121022200200103. The next prime is 121022200200137. The reversal of 121022200200120 is 21002002220121.

It is an interprime number because it is at equal distance from previous prime (121022200200103) and next prime (121022200200137).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121022200200120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20648725990 + ... + 20648731850.

It is an arithmetic number, because the mean of its divisors is an integer number (1433855605050).

Almost surely, 2121022200200120 is an apocalyptic number.

121022200200120 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 121022200200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183533517446400).

121022200200120 is an abundant number, since it is smaller than the sum of its proper divisors (246044834692680).

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

121022200200120 is a wasteful number, since it uses less digits than its factorization.

121022200200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8598 (or 8594 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 121022200200120 its reverse (21002002220121), we get a palindrome (142024202420241).

The spelling of 121022200200120 in words is "one hundred twenty-one trillion, twenty-two billion, two hundred million, two hundred thousand, one hundred twenty".