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10122212110212 = 2232377599258341
BaseRepresentation
bin1001001101001100001011…
…0110110110111110000100
31022211200012100212201001200
42103103002312312332010
52311320242300011322
633310025142422500
72063206565214516
oct223230266667604
938750170781050
1010122212110212
11325289593a2a4
121175904431a30
1358569c724437
1426dcbc185bb6
1512847e2088ac
hex934c2db6f84

10122212110212 has 36 divisors (see below), whose sum is σ = 26278235346636. Its totient is φ = 3282879602880.

The previous prime is 10122212110201. The next prime is 10122212110279. The reversal of 10122212110212 is 21201121222101.

10122212110212 is a `hidden beast` number, since 10 + 12 + 221 + 211 + 0 + 212 = 666.

10122212110212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8162083308096 + 1960128802116 = 2856936^2 + 1400046^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3799627839 + ... + 3799630502.

It is an arithmetic number, because the mean of its divisors is an integer number (729950981851).

Almost surely, 210122212110212 is an apocalyptic number.

10122212110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10122212110212 is an abundant number, since it is smaller than the sum of its proper divisors (16156023236424).

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

10122212110212 is a wasteful number, since it uses less digits than its factorization.

10122212110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7599258388 (or 7599258383 counting only the distinct ones).

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

Adding to 10122212110212 its reverse (21201121222101), we get a palindrome (31323333332313).

The spelling of 10122212110212 in words is "ten trillion, one hundred twenty-two billion, two hundred twelve million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 7599258341 15198516682 22797775023 30397033364 45595550046 68393325069 91191100092 136786650138 273573300276 281172558617 562345117234 843517675851 1124690234468 1687035351702 2530553027553 3374070703404 5061106055106 10122212110212