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221211121000120 = 23517325310472059
BaseRepresentation
bin110010010011000010111010…
…010010011001111010111000
31002000020120120100221000101221
4302103002322102121322320
5212443310333434000440
62102250552553521424
764410655540103356
oct6223027222317270
91060216510830357
10221211121000120
116453712292a469
1220988244a13274
139658171b6c154
143c8a9653767d6
151a89320101d4a
hexc930ba499eb8

221211121000120 has 32 divisors (see below), whose sum is σ = 527002964737200. Its totient is φ = 83279480846848.

The previous prime is 221211121000099. The next prime is 221211121000141. The reversal of 221211121000120 is 21000121112122.

It is an interprime number because it is at equal distance from previous prime (221211121000099) and next prime (221211121000141).

It is a junction number, because it is equal to n+sod(n) for n = 221211121000094 and 221211121000103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162655235350 + ... + 162655236709.

Almost surely, 2221211121000120 is an apocalyptic number.

221211121000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211121000120 is an abundant number, since it is smaller than the sum of its proper divisors (305791843737080).

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

221211121000120 is a wasteful number, since it uses less digits than its factorization.

221211121000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325310472087 (or 325310472083 counting only the distinct ones).

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

Adding to 221211121000120 its reverse (21000121112122), we get a palindrome (242211242112242).

The spelling of 221211121000120 in words is "two hundred twenty-one trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 325310472059 650620944118 1301241888236 1626552360295 2602483776472 3253104720590 5530278025003 6506209441180 11060556050006 13012418882360 22121112100012 27651390125015 44242224200024 55302780250030 110605560500060 221211121000120