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212121120011020 = 225111019546405041
BaseRepresentation
bin110000001110110001001100…
…000000011111001100001100
31000211001120200120101020010221
4300032301030000133030030
5210300343023210323040
62031051033001441124
762452150045411633
oct6016611400371414
91024046616336127
10212121120011020
1161652075295110
121b95a5b1aa01a4
139148c21c01c2c
143a54a075b651a
15197cb5545074a
hexc0ec4c01f30c

212121120011020 has 48 divisors (see below), whose sum is σ = 490761590399136. Its totient is φ = 76371240320000.

The previous prime is 212121120010999. The next prime is 212121120011029. The reversal of 212121120011020 is 20110021121212.

It is a junction number, because it is equal to n+sod(n) for n = 212121120010985 and 212121120011003.

It is not an unprimeable number, because it can be changed into a prime (212121120011029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4773180301 + ... + 4773224740.

It is an arithmetic number, because the mean of its divisors is an integer number (10224199799982).

Almost surely, 2212121120011020 is an apocalyptic number.

212121120011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121120011020 is an abundant number, since it is smaller than the sum of its proper divisors (278640470388116).

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

212121120011020 is a wasteful number, since it uses less digits than its factorization.

212121120011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546405162 (or 9546405160 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212121120011020 its reverse (20110021121212), we get a palindrome (232231141132232).

The spelling of 212121120011020 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred twenty million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 9546405041 19092810082 38185620164 47732025205 95464050410 105010455451 190928100820 210020910902 420041821804 525052277255 964186909141 1050104554510 1928373818282 2100209109020 3856747636564 4820934545705 9641869091410 10606056000551 19283738182820 21212112001102 42424224002204 53030280002755 106060560005510 212121120011020