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221202012212120 = 23535008915796127
BaseRepresentation
bin110010010010111010011011…
…010111001000101110011000
31002000012201001120010122022102
4302102322123113020232120
5212443133210111241440
62102242445044542532
764410214033506212
oct6222723327105630
91060181046118272
10221202012212120
11645332791951a5
12209865223b1a48
13965734c9bc374
143c8a33d7235b2
151a88e8a5d6b15
hexc92e9b5c8b98

221202012212120 has 32 divisors (see below), whose sum is σ = 497705980636800. Its totient is φ = 88480546545408.

The previous prime is 221202012212101. The next prime is 221202012212161. The reversal of 221202012212120 is 21212210202122.

221202012212120 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 221202012212092 and 221202012212101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6105497 + ... + 21901623.

It is an arithmetic number, because the mean of its divisors is an integer number (15553311894900).

Almost surely, 2221202012212120 is an apocalyptic number.

221202012212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221202012212120 is an abundant number, since it is smaller than the sum of its proper divisors (276503968424680).

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

221202012212120 is a wasteful number, since it uses less digits than its factorization.

221202012212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16146227 (or 16146223 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221202012212120 its reverse (21212210202122), we get a palindrome (242414222414242).

The spelling of 221202012212120 in words is "two hundred twenty-one trillion, two hundred two billion, twelve million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 350089 700178 1400356 1750445 2800712 3500890 7001780 14003560 15796127 31592254 63184508 78980635 126369016 157961270 315922540 631845080 5530050305303 11060100610606 22120201221212 27650251526515 44240402442424 55300503053030 110601006106060 221202012212120