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21121210212120 = 2332558799948941
BaseRepresentation
bin1001100110101101010100…
…01110110101111100011000
32202210011112110021200120100
410303112222032311330120
510232022214303241440
6112530541112055400
74306646164413354
oct463265216657430
982704473250510
1021121210212120
116803500599357
122451522694560
13ba294c3c5385
145303b4638464
15269627959230
hex1335aa3b5f18

21121210212120 has 96 divisors (see below), whose sum is σ = 68760874138320. Its totient is φ = 5622727568640.

The previous prime is 21121210212097. The next prime is 21121210212161. The reversal of 21121210212120 is 2121201212112.

21121210212120 is a `hidden beast` number, since 2 + 1 + 121 + 210 + 212 + 120 = 666.

It is a super-2 number, since 2×211212102121202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21121210212093 and 21121210212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49763151 + ... + 50185790.

Almost surely, 221121210212120 is an apocalyptic number.

21121210212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121210212120 is an abundant number, since it is smaller than the sum of its proper divisors (47639663926200).

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

21121210212120 is a wasteful number, since it uses less digits than its factorization.

21121210212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99949545 (or 99949538 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21121210212120 its reverse (2121201212112), we get a palindrome (23242411424232).

The spelling of 21121210212120 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 587 1174 1761 2348 2935 3522 4696 5283 5870 7044 8805 10566 11740 14088 17610 21132 23480 26415 35220 42264 52830 70440 105660 211320 99948941 199897882 299846823 399795764 499744705 599693646 799591528 899540469 999489410 1199387292 1499234115 1799080938 1998978820 2398774584 2998468230 3598161876 3997957640 4497702345 5996936460 7196323752 8995404690 11993872920 17990809380 35981618760 58670028367 117340056734 176010085101 234680113468 293350141835 352020170202 469360226936 528030255303 586700283670 704040340404 880050425505 1056060510606 1173400567340 1408080680808 1760100851010 2112121021212 2346801134680 2640151276515 3520201702020 4224242042424 5280302553030 7040403404040 10560605106060 21121210212120