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22121020012 = 22721319344983
BaseRepresentation
bin10100100110100000…
…111111101001101100
32010002122121020201111
4110212200333221230
5330300440120022
614055014121404
71412115365500
oct244640775154
963078536644
1022121020012
119421814823
124354350264
132116c45270
1410dbc84300
15897086477
hex52683fa6c

22121020012 has 72 divisors (see below), whose sum is σ = 48748441056. Its totient is φ = 8705636352.

The previous prime is 22121020001. The next prime is 22121020027. The reversal of 22121020012 is 21002012122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 22121019974 and 22121020001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469273 + ... + 514255.

Almost surely, 222121020012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24374220528).

22121020012 is an abundant number, since it is smaller than the sum of its proper divisors (26627421044).

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

22121020012 is a wasteful number, since it uses less digits than its factorization.

22121020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45207 (or 45198 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22121020012 its reverse (21002012122), we get a palindrome (43123032134).

The spelling of 22121020012 in words is "twenty-two billion, one hundred twenty-one million, twenty thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 193 196 364 386 637 772 1274 1351 2509 2548 2702 5018 5404 9457 10036 17563 18914 35126 37828 44983 70252 89966 122941 179932 245882 314881 491764 584779 629762 1169558 1259524 2204167 2339116 4093453 4408334 8186906 8681719 8816668 16373812 17363438 28654171 34726876 57308342 60772033 112862347 114616684 121544066 225724694 243088132 425404231 451449388 790036429 850808462 1580072858 1701616924 3160145716 5530255003 11060510006 22121020012