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212301121311120 = 24352933019071691
BaseRepresentation
bin110000010001011000110100…
…111010111101000110010000
31000211200210022011120200210110
4300101120310322331012100
5210311320144023423440
62031305442210201320
762501151461255262
oct6021306472750620
91024623264520713
10212301121311120
1161711444335056
121b989467b83240
13915cba9bb016a
143a5d60162db32
15198268cd14080
hexc11634ebd190

212301121311120 has 80 divisors (see below), whose sum is σ = 660379665621312. Its totient is φ = 56420411742720.

The previous prime is 212301121311109. The next prime is 212301121311197. The reversal of 212301121311120 is 21113121103212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2123011213111202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1509465526 + ... + 1509606165.

Almost surely, 2212301121311120 is an apocalyptic number.

212301121311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212301121311120 is an abundant number, since it is smaller than the sum of its proper divisors (448078544310192).

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

212301121311120 is a wasteful number, since it uses less digits than its factorization.

212301121311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019072000 (or 3019071994 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 212301121311120 its reverse (21113121103212), we get a palindrome (233414242414332).

The spelling of 212301121311120 in words is "two hundred twelve trillion, three hundred one billion, one hundred twenty-one million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 293 586 879 1172 1465 1758 2344 2930 3516 4395 4688 5860 7032 8790 11720 14064 17580 23440 35160 70320 3019071691 6038143382 9057215073 12076286764 15095358455 18114430146 24152573528 30190716910 36228860292 45286075365 48305147056 60381433820 72457720584 90572150730 120762867640 144915441168 181144301460 241525735280 362288602920 724577205840 884588005463 1769176010926 2653764016389 3538352021852 4422940027315 5307528032778 7076704043704 8845880054630 10615056065556 13268820081945 14153408087408 17691760109260 21230112131112 26537640163890 35383520218520 42460224262224 53075280327780 70767040437040 106150560655560 212301121311120