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121220120202120 = 233354313611917893
BaseRepresentation
bin11011100011111111000010…
…001101000100101110001000
3120220012112022121012022111000
4123203333002031010232020
5111342032301232431440
61105451430543135000
734350602403606462
oct3343770215045610
9526175277168430
10121220120202120
1135696189719a15
1211719330ba4460
135284015287204
1421d112980d132
15e03330902730
hex6e3fc2344b88

121220120202120 has 256 divisors, whose sum is σ = 413767985875200. Its totient is φ = 31550397419520.

The previous prime is 121220120202073. The next prime is 121220120202121. The reversal of 121220120202120 is 21202021022121.

It is a happy number.

121220120202120 is a `hidden beast` number, since 1 + 2 + 1 + 220 + 120 + 202 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121220120202093 and 121220120202102.

It is not an unprimeable number, because it can be changed into a prime (121220120202121) by changing a digit.

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, 62245894 + ... + 64163786.

It is an arithmetic number, because the mean of its divisors is an integer number (1616281194825).

Almost surely, 2121220120202120 is an apocalyptic number.

121220120202120 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 121220120202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206883992937600).

121220120202120 is an abundant number, since it is smaller than the sum of its proper divisors (292547865673080).

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

121220120202120 is a wasteful number, since it uses less digits than its factorization.

121220120202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919317 (or 1919307 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121220120202120 its reverse (21202021022121), we get a palindrome (142422141224241).

The spelling of 121220120202120 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred twenty million, two hundred two thousand, one hundred twenty".