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212022200120 = 23543233352837
BaseRepresentation
bin1100010101110110000…
…0100000011100111000
3202021021012011201200112
43011131200200130320
511433210140400440
6241222431323452
721214051652063
oct3053540403470
9667235151615
10212022200120
1181a11006085
1235111980588
1316cbbc57663
14a394a3b8da
1557adb2c965
hex315d820738

212022200120 has 64 divisors (see below), whose sum is σ = 488362612320. Its totient is φ = 82799506944.

The previous prime is 212022200119. The next prime is 212022200129. The reversal of 212022200120 is 21002220212.

212022200120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212022200095 and 212022200104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212022200129) 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, 3986342 + ... + 4039178.

Almost surely, 2212022200120 is an apocalyptic number.

212022200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212022200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244181306160).

212022200120 is an abundant number, since it is smaller than the sum of its proper divisors (276340412200).

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

212022200120 is a wasteful number, since it uses less digits than its factorization.

212022200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55224 (or 55220 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212022200120 its reverse (21002220212), we get a palindrome (233024420332).

The spelling of 212022200120 in words is "two hundred twelve billion, twenty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 2333 4666 9332 11665 18664 23330 46660 52837 93320 100319 105674 200638 211348 264185 401276 422696 501595 528370 802552 1003190 1056740 2006380 2113480 2271991 4012760 4543982 9087964 11359955 18175928 22719910 45439820 90879640 123268721 246537442 493074884 616343605 986149768 1232687210 2465374420 4930748840 5300555003 10601110006 21202220012 26502775015 42404440024 53005550030 106011100060 212022200120