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221101212120 = 23351842510101
BaseRepresentation
bin1100110111101010101…
…0001100000111011000
3210010200220221022210020
43031322222030013120
512110303402241440
6245323354150440
721655044202605
oct3157252140730
9703626838706
10221101212120
118584a963188
1236a26422420
1317b07bb03c9
14a9b673d6ac
155b40c153d0
hex337aa8c1d8

221101212120 has 32 divisors (see below), whose sum is σ = 663303636720. Its totient is φ = 58960323200.

The previous prime is 221101212113. The next prime is 221101212139. The reversal of 221101212120 is 21212101122.

221101212120 is digitally balanced in base 2, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221101212120.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 921254931 + ... + 921255170.

Almost surely, 2221101212120 is an apocalyptic number.

221101212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221101212120 is an abundant number, since it is smaller than the sum of its proper divisors (442202424600).

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

221101212120 is a wasteful number, since it uses less digits than its factorization.

221101212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842510115 (or 1842510111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221101212120 its reverse (21212101122), we get a palindrome (242313313242).

The spelling of 221101212120 in words is "two hundred twenty-one billion, one hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1842510101 3685020202 5527530303 7370040404 9212550505 11055060606 14740080808 18425101010 22110121212 27637651515 36850202020 44220242424 55275303030 73700404040 110550606060 221101212120