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12212110102120 = 2351312330555363
BaseRepresentation
bin1011000110110101101001…
…1111000000111001101000
31121020110120221122201100121
42301231122133000321220
53100040400141231440
641550055501413024
72400203321101465
oct261553237007150
947213527581317
1012212110102120
113989143868a65
121452956b6a174
136a779b913256
143030d817c66c
151629e961334a
hexb1b5a7c0e68

12212110102120 has 32 divisors (see below), whose sum is σ = 27686997724320. Its totient is φ = 4847555152960.

The previous prime is 12212110102111. The next prime is 12212110102123. The reversal of 12212110102120 is 2120101121221.

12212110102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12212110102094 and 12212110102103.

It is not an unprimeable number, because it can be changed into a prime (12212110102123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1165272442 + ... + 1165282921.

It is an arithmetic number, because the mean of its divisors is an integer number (865218678885).

Almost surely, 212212110102120 is an apocalyptic number.

12212110102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212110102120 is an abundant number, since it is smaller than the sum of its proper divisors (15474887622200).

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

12212110102120 is a wasteful number, since it uses less digits than its factorization.

12212110102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330555505 (or 2330555501 counting only the distinct ones).

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

Adding to 12212110102120 its reverse (2120101121221), we get a palindrome (14332211223341).

The spelling of 12212110102120 in words is "twelve trillion, two hundred twelve billion, one hundred ten million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 1048 1310 2620 5240 2330555363 4661110726 9322221452 11652776815 18644442904 23305553630 46611107260 93222214520 305302752553 610605505106 1221211010212 1526513762765 2442422020424 3053027525530 6106055051060 12212110102120