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22100121211212 = 2232113710327154037
BaseRepresentation
bin1010000011001100101011…
…10111111101000101001100
32220020202021110000212101200
411001212111313331011030
510344042022012224322
6115000353332105500
74440452414542632
oct501462567750514
986222243025350
1022100121211212
117050677302780
12258b199a65290
13c440564b6b45
14565919cc1352
15284d1ca428ac
hex141995dfd14c

22100121211212 has 288 divisors, whose sum is σ = 63431903668224. Its totient is φ = 6428814220800.

The previous prime is 22100121211159. The next prime is 22100121211247. The reversal of 22100121211212 is 21211212100122.

22100121211212 is a `hidden beast` number, since 22 + 100 + 121 + 211 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 408954258 + ... + 409008294.

Almost surely, 222100121211212 is an apocalyptic number.

22100121211212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100121211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31715951834112).

22100121211212 is an abundant number, since it is smaller than the sum of its proper divisors (41331782457012).

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

22100121211212 is a wasteful number, since it uses less digits than its factorization.

22100121211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54469 (or 54464 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22100121211212 its reverse (21211212100122), we get a palindrome (43311333311334).

The spelling of 22100121211212 in words is "twenty-two trillion, one hundred billion, one hundred twenty-one million, two hundred eleven thousand, two hundred twelve".