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22121120022112 = 251946378581903
BaseRepresentation
bin1010000011110011110011…
…00000000011111001100000
32220022202110212222222121201
411001321321200003321200
510344413023211201422
6115014145141330544
74442124655515646
oct501717140037140
986282425888551
1022121120022112
117059572613151
12259327a406a54
13c46021aa3637
1456694cac5196
1528564b307727
hex141e79803e60

22121120022112 has 48 divisors (see below), whose sum is σ = 45942124354560. Its totient is φ = 10455793552512.

The previous prime is 22121120022107. The next prime is 22121120022143. The reversal of 22121120022112 is 21122002112122.

It is a super-2 number, since 2×221211200221122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 22121120022112.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 39009448 + ... + 39572455.

It is an arithmetic number, because the mean of its divisors is an integer number (957127590720).

Almost surely, 222121120022112 is an apocalyptic number.

It is an amenable number.

22121120022112 is an abundant number, since it is smaller than the sum of its proper divisors (23821004332448).

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

22121120022112 is a wasteful number, since it uses less digits than its factorization.

22121120022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78582395 (or 78582387 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 22121120022112 its reverse (21122002112122), we get a palindrome (43243122134234).

The spelling of 22121120022112 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 463 608 926 1852 3704 7408 8797 14816 17594 35188 70376 140752 281504 78581903 157163806 314327612 628655224 1257310448 1493056157 2514620896 2986112314 5972224628 11944449256 23888898512 36383421089 47777797024 72766842178 145533684356 291067368712 582134737424 691285000691 1164269474848 1382570001382 2765140002764 5530280005528 11060560011056 22121120022112