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10212110001120 = 2535103206555623
BaseRepresentation
bin1001010010011011000100…
…1100000110001111100000
31100011021020111121201211210
42110212301030012033200
52314303400130013440
633415213434310120
72102541414533106
oct224466114061740
940137214551753
1010212110001120
113287a27959305
12118b212b88340
13590cc8344c21
142743a96a3c76
1512a991615a80
hex949b13063e0

10212110001120 has 96 divisors (see below), whose sum is σ = 32480458762752. Its totient is φ = 2696790200832.

The previous prime is 10212110001109. The next prime is 10212110001139. The reversal of 10212110001120 is 2110001121201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10212110001096 and 10212110001105.

It is a congruent number.

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, 103228372 + ... + 103327251.

It is an arithmetic number, because the mean of its divisors is an integer number (338338112112).

Almost surely, 210212110001120 is an apocalyptic number.

10212110001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212110001120 is an abundant number, since it is smaller than the sum of its proper divisors (22268348761632).

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

10212110001120 is a wasteful number, since it uses less digits than its factorization.

10212110001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206555744 (or 206555736 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10212110001120 its reverse (2110001121201), we get a palindrome (12322111122321).

The spelling of 10212110001120 in words is "ten trillion, two hundred twelve billion, one hundred ten million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 16480 24720 49440 206555623 413111246 619666869 826222492 1032778115 1239333738 1652444984 2065556230 2478667476 3098334345 3304889968 4131112460 4957334952 6196668690 6609779936 8262224920 9914669904 12393337380 16524449840 19829339808 21275229169 24786674760 33048899680 42550458338 49573349520 63825687507 85100916676 99146699040 106376145845 127651375014 170201833352 212752291690 255302750028 319128437535 340403666704 425504583380 510605500056 638256875070 680807333408 851009166760 1021211000112 1276513750140 1702018333520 2042422000224 2553027500280 3404036667040 5106055000560 10212110001120