Search a number
-
+
122201230221000 = 23325371939702067
BaseRepresentation
bin11011110010010000110000…
…111010110001111011001000
3121000200022201211210021100200
4123302100300322301323020
5112004121104414033000
61111522245315532200
734511514255303330
oct3362206072617310
9530608654707320
10122201230221000
1135a34283753467
12118575008ba060
1353256acb26118
1422267dd15a0c0
15e1db03ab2500
hex6f2430eb1ec8

122201230221000 has 192 divisors, whose sum is σ = 472045895268480. Its totient is φ = 27931709750400.

The previous prime is 122201230220939. The next prime is 122201230221073. The reversal of 122201230221000 is 122032102221.

122201230221000 is a `hidden beast` number, since 1 + 2 + 220 + 1 + 230 + 2 + 210 + 0 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 969788034 + ... + 969914033.

It is an arithmetic number, because the mean of its divisors is an integer number (2458572371190).

Almost surely, 2122201230221000 is an apocalyptic number.

122201230221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201230221000 is an abundant number, since it is smaller than the sum of its proper divisors (349844665047480).

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

122201230221000 is a wasteful number, since it uses less digits than its factorization.

122201230221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939702101 (or 1939702084 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122201230221000 its reverse (122032102221), we get a palindrome (122323262323221).

The spelling of 122201230221000 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred thirty million, two hundred twenty-one thousand".