Search a number
-
+
121202112020022 = 2321171379112920149
BaseRepresentation
bin11011100011101110010000…
…110101010011111000110110
3120220010210211120121212201200
4123203232100311103320312
5111341233411134120042
61105435252005233330
734346364215566035
oct3343562065237066
9526123746555650
10121202112020022
11356895885591a0
1211715946102846
135282405450667
1421d02dbc9271c
15e02b2997ec4c
hex6e3b90d53e36

121202112020022 has 192 divisors, whose sum is σ = 291551607360000. Its totient is φ = 36081296294400.

The previous prime is 121202112019979. The next prime is 121202112020047. The reversal of 121202112020022 is 220020211202121.

It is a happy number.

121202112020022 is a `hidden beast` number, since 1 + 212 + 0 + 211 + 20 + 200 + 22 = 666.

It is a super-2 number, since 2×1212021120200222 (a number of 29 digits) contains 22 as substring.

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 = 121202112019977 and 121202112020004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6015281604 + ... + 6015301752.

It is an arithmetic number, because the mean of its divisors is an integer number (1518497955000).

Almost surely, 2121202112020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121202112020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145775803680000).

121202112020022 is an abundant number, since it is smaller than the sum of its proper divisors (170349495339978).

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

121202112020022 is a wasteful number, since it uses less digits than its factorization.

121202112020022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21747 (or 21744 counting only the distinct ones).

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

Adding to 121202112020022 its reverse (220020211202121), we get a palindrome (341222323222143).

The spelling of 121202112020022 in words is "one hundred twenty-one trillion, two hundred two billion, one hundred twelve million, twenty thousand, twenty-two".