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221012212112120 = 235111339797326193
BaseRepresentation
bin110010010000001001101010…
…011001001101101011111000
31001222112120011001202120012002
4302100021222121031223320
5212432031002300041440
62102015335242040132
764360414435334042
oct6220115231155370
91058476131676162
10221012212112120
116446a830a62920
12209557927a9048
13964249290b2a0
143c8109615ca92
151a8407c85a115
hexc9026a64daf8

221012212112120 has 128 divisors (see below), whose sum is σ = 585685677205440. Its totient is φ = 73999050301440.

The previous prime is 221012212112089. The next prime is 221012212112137. The reversal of 221012212112120 is 21211212210122.

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 = 221012212112092 and 221012212112101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46392257 + ... + 50933936.

Almost surely, 2221012212112120 is an apocalyptic number.

221012212112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221012212112120 is an abundant number, since it is smaller than the sum of its proper divisors (364673465093320).

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

221012212112120 is a wasteful number, since it uses less digits than its factorization.

221012212112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97326625 (or 97326621 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 221012212112120 its reverse (21211212210122), we get a palindrome (242223424322242).

The spelling of 221012212112120 in words is "two hundred twenty-one trillion, twelve billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 397 440 520 572 715 794 1144 1430 1588 1985 2860 3176 3970 4367 5161 5720 7940 8734 10322 15880 17468 20644 21835 25805 34936 41288 43670 51610 56771 87340 103220 113542 174680 206440 227084 283855 454168 567710 1135420 2270840 97326193 194652386 389304772 486630965 778609544 973261930 1070588123 1265240509 1946523860 2141176246 2530481018 3893047720 4282352492 5060962036 5352940615 6326202545 8564704984 10121924072 10705881230 12652405090 13917645599 21411762460 25304810180 27835291198 38638498621 42823524920 50609620360 55670582396 69588227995 77276997242 111341164792 139176455990 154553994484 193192493105 278352911980 309107988968 386384986210 425023484831 502300482073 556705823960 772769972420 850046969662 1004600964146 1545539944840 1700093939324 2009201928292 2125117424155 2511502410365 3400187878648 4018403856584 4250234848310 5023004820730 5525305302803 8500469696620 10046009641460 11050610605606 17000939393240 20092019282920 22101221211212 27626526514015 44202442422424 55253053028030 110506106056060 221012212112120