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121221020202120 = 233252771444784143
BaseRepresentation
bin11011100011111111110111…
…110110010011010010001000
3120220012121122022201001101100
4123203333313312103102020
5111342041122132431440
61105452100133221400
734350633612515256
oct3343776766232210
9526177568631340
10121221020202120
1135696600751273
1211719542491860
1352841298808a7
1421d11b31695d6
15e0338492e230
hex6e3ff7d93488

121221020202120 has 192 divisors, whose sum is σ = 395422651653120. Its totient is φ = 32206294236672.

The previous prime is 121221020202089. The next prime is 121221020202133. The reversal of 121221020202120 is 21202020122121.

It is a happy number.

121221020202120 is a `hidden beast` number, since 1 + 212 + 210 + 20 + 202 + 1 + 20 = 666.

121221020202120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 121221020202093 and 121221020202102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1440612769 + ... + 1440696911.

It is an arithmetic number, because the mean of its divisors is an integer number (2059492977360).

Almost surely, 2121221020202120 is an apocalyptic number.

121221020202120 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 121221020202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197711325826560).

121221020202120 is an abundant number, since it is smaller than the sum of its proper divisors (274201631451000).

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

121221020202120 is a wasteful number, since it uses less digits than its factorization.

121221020202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98884 (or 98877 counting only the distinct ones).

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

Adding to 121221020202120 its reverse (21202020122121), we get a palindrome (142423040324241).

The spelling of 121221020202120 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty million, two hundred two thousand, one hundred twenty".