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21121112120 = 23517191634761
BaseRepresentation
bin10011101010111010…
…101001100000111000
32000111222002122221212
4103222322221200320
5321224001041440
613411454422252
71345254330233
oct235272514070
960458078855
1021121112120
118a59354169
124115501988
131cb7a3aca4
14104515c41a
158393c2465
hex4eaea9838

21121112120 has 64 divisors (see below), whose sum is σ = 52966288800. Its totient is φ = 7532974080.

The previous prime is 21121112113. The next prime is 21121112147. The reversal of 21121112120 is 2121112112.

It is a super-2 number, since 2×211211121202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121112095 and 21121112104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804461 + ... + 830300.

Almost surely, 221121112120 is an apocalyptic number.

21121112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121112120 is an abundant number, since it is smaller than the sum of its proper divisors (31845176680).

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

21121112120 is a wasteful number, since it uses less digits than its factorization.

21121112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634808 (or 1634804 counting only the distinct ones).

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

Adding to 21121112120 its reverse (2121112112), we get a palindrome (23242224232).

The spelling of 21121112120 in words is "twenty-one billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 12920 1634761 3269522 6539044 8173805 13078088 16347610 27790937 31060459 32695220 55581874 62120918 65390440 111163748 124241836 138954685 155302295 222327496 248483672 277909370 310604590 528027803 555818740 621209180 1056055606 1111637480 1242418360 2112111212 2640139015 4224222424 5280278030 10560556060 21121112120