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221200121200020 = 22359913720150037
BaseRepresentation
bin110010010010111000101010…
…101001011111110110010100
31002000012112011202212021101020
4302102320222221133312110
5212443120322011400040
62102241533254001140
764410116132252334
oct6222705251376624
91060175152767336
10221200121200020
1164532498818886
12209860950461b0
13965710acb47b1
143c8a2005190c4
151a88dc95a1cd0
hexc92e2aa5fd94

221200121200020 has 48 divisors (see below), whose sum is σ = 619985324732928. Its totient is φ = 58927176570240.

The previous prime is 221200121199989. The next prime is 221200121200027. The reversal of 221200121200020 is 20002121002122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221200121200027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1860015559 + ... + 1860134478.

It is an arithmetic number, because the mean of its divisors is an integer number (12916360931936).

Almost surely, 2221200121200020 is an apocalyptic number.

221200121200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200121200020 is an abundant number, since it is smaller than the sum of its proper divisors (398785203532908).

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

221200121200020 is a wasteful number, since it uses less digits than its factorization.

221200121200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720151040 (or 3720151038 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221200121200020 its reverse (20002121002122), we get a palindrome (241202242202142).

The spelling of 221200121200020 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 991 1982 2973 3964 4955 5946 9910 11892 14865 19820 29730 59460 3720150037 7440300074 11160450111 14880600148 18600750185 22320900222 37201500370 44641800444 55802250555 74403000740 111604501110 223209002220 3686668686667 7373337373334 11060006060001 14746674746668 18433343433335 22120012120002 36866686866670 44240024240004 55300030300005 73733373733340 110600060600010 221200121200020