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21210010121120 = 2551052912590233
BaseRepresentation
bin1001101001010010101110…
…00111100111001110100000
32210002122202001222110022212
410310221113013213032200
510240001100042333440
6113035424422221252
74316241552242342
oct464512707471640
983078661873285
1021210010121120
1168381298512a7
122466785584828
13bab1316c0922
145347d9dc1292
1526bac377d465
hex134a571e73a0

21210010121120 has 48 divisors (see below), whose sum is σ = 50113411999560. Its totient is φ = 8483197599744.

The previous prime is 21210010121101. The next prime is 21210010121159. The reversal of 21210010121120 is 2112101001212.

It can be written as a sum of positive squares in 4 ways, for example, as 18369693136144 + 2840316984976 = 4285988^2 + 1685324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21210010121095 and 21210010121104.

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, 4610477 + ... + 7979756.

Almost surely, 221210010121120 is an apocalyptic number.

21210010121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210010121120 is an abundant number, since it is smaller than the sum of its proper divisors (28903401878440).

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

21210010121120 is a wasteful number, since it uses less digits than its factorization.

21210010121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12600777 (or 12600769 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21210010121120 its reverse (2112101001212), we get a palindrome (23322111122332).

The spelling of 21210010121120 in words is "twenty-one trillion, two hundred ten billion, ten million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 10529 21058 42116 52645 84232 105290 168464 210580 336928 421160 842320 1684640 12590233 25180466 50360932 62951165 100721864 125902330 201443728 251804660 402887456 503609320 1007218640 2014437280 132562563257 265125126514 530250253028 662812816285 1060500506056 1325625632570 2121001012112 2651251265140 4242002024224 5302502530280 10605005060560 21210010121120