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122201221110200 = 2352769979361749
BaseRepresentation
bin11011110010010000110000…
…011000000001100110111000
3121000200022201012122101200122
4123302100300120001212320
5112004121100101011300
61111522244352352412
734511514114666251
oct3362206030014670
9530608635571618
10122201221110200
1135a342795a0381
12118574b9845708
1353256aac8620b
1422267dbc67b28
15e1db02db2c85
hex6f24306019b8

122201221110200 has 48 divisors (see below), whose sum is σ = 284154745875000. Its totient is φ = 48874138888320.

The previous prime is 122201221110131. The next prime is 122201221110203. The reversal of 122201221110200 is 2011122102221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201221110203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38141075 + ... + 41220674.

Almost surely, 2122201221110200 is an apocalyptic number.

122201221110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201221110200 is an abundant number, since it is smaller than the sum of its proper divisors (161953524764800).

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

122201221110200 is a wasteful number, since it uses less digits than its factorization.

122201221110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79369464 (or 79369455 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122201221110200 its reverse (2011122102221), we get a palindrome (124212343212421).

The spelling of 122201221110200 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred twenty-one million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 7699 15398 30796 38495 61592 76990 153980 192475 307960 384950 769900 1539800 79361749 158723498 317446996 396808745 634893992 793617490 1587234980 1984043725 3174469960 3968087450 7936174900 15872349800 611006105551 1222012211102 2444024422204 3055030527755 4888048844408 6110061055510 12220122111020 15275152638775 24440244222040 30550305277550 61100610555100 122201221110200