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2121121012320 = 253251473000703
BaseRepresentation
bin11110110111011100101…
…010100001101001100000
321111202222120101210021100
4132313130222201221200
5234223023434343240
64302232440354400
7306150233056662
oct36673452415140
97452876353240
102121121012320
11748620572072
122a3107175a00
13125036a7852b
147493ca44532
153a2965b9e30
hex1eddcaa1a60

2121121012320 has 72 divisors (see below), whose sum is σ = 7238325459456. Its totient is φ = 565632269568.

The previous prime is 2121121012303. The next prime is 2121121012327. The reversal of 2121121012320 is 232101211212.

2121121012320 is a `hidden beast` number, since 2 + 121 + 1 + 210 + 12 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 2121121012293 and 2121121012302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121121012327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736498912 + ... + 736501791.

It is an arithmetic number, because the mean of its divisors is an integer number (100532298048).

Almost surely, 22121121012320 is an apocalyptic number.

2121121012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121121012320 is an abundant number, since it is smaller than the sum of its proper divisors (5117204447136).

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

2121121012320 is a wasteful number, since it uses less digits than its factorization.

2121121012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473000724 (or 1473000713 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2121121012320 its reverse (232101211212), we get a palindrome (2353222223532).

The spelling of 2121121012320 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-one million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1473000703 2946001406 4419002109 5892002812 7365003515 8838004218 11784005624 13257006327 14730007030 17676008436 22095010545 23568011248 26514012654 29460014060 35352016872 44190021090 47136022496 53028025308 58920028120 66285031635 70704033744 88380042180 106056050616 117840056240 132570063270 141408067488 176760084360 212112101232 235680112480 265140126540 353520168720 424224202464 530280253080 707040337440 1060560506160 2121121012320