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10222221001212 = 223211372932381117
BaseRepresentation
bin1001010011000000101111…
…0110100000000111111100
31100012020100011020202110200
42110300023312200013330
52314440102034014322
633424005024203500
72103350110603353
oct224601366400774
940166304222420
1010222221001212
113291246298330
121191175169590
13591c4a027a0c
14274a8847c99a
1512ad840ec8ac
hex94c0bda01fc

10222221001212 has 144 divisors (see below), whose sum is σ = 29049220523232. Its totient is φ = 3003634967040.

The previous prime is 10222221001171. The next prime is 10222221001241. The reversal of 10222221001212 is 21210012222201.

It is a happy number.

10222221001212 is a `hidden beast` number, since 10 + 222 + 221 + 0 + 0 + 1 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3102478 + ... + 5483594.

It is an arithmetic number, because the mean of its divisors is an integer number (201730698078).

Almost surely, 210222221001212 is an apocalyptic number.

10222221001212 is a gapful number since it is divisible by the number (12) 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 10222221001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14524610261616).

10222221001212 is an abundant number, since it is smaller than the sum of its proper divisors (18826999522020).

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

10222221001212 is a wasteful number, since it uses less digits than its factorization.

10222221001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381468 (or 2381463 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222221001212 its reverse (21210012222201), we get a palindrome (31432233223413).

The spelling of 10222221001212 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty-one million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 293 333 396 407 444 586 666 814 879 1172 1221 1332 1628 1758 2442 2637 3223 3516 3663 4884 5274 6446 7326 9669 10548 10841 12892 14652 19338 21682 29007 32523 38676 43364 58014 65046 97569 116028 119251 130092 195138 238502 357753 390276 477004 715506 1073259 1431012 2146518 2381117 4293036 4762234 7143351 9524468 14286702 21430053 26192287 28573404 42860106 52384574 78576861 85720212 88101329 104769148 157153722 176202658 235730583 264303987 314307444 352405316 471461166 528607974 697667281 792911961 942922332 969114619 1057215948 1395334562 1585823922 1938229238 2093001843 2790669124 2907343857 3171647844 3876458476 4186003686 5814687714 6279005529 7674340091 8372007372 8722031571 11629375428 12558011058 15348680182 17444063142 23023020273 25116022116 25813689397 30697360364 34888126284 46046040546 51627378794 69069060819 77441068191 92092081092 103254757588 138138121638 154882136382 232323204573 276276243276 283950583367 309764272764 464646409146 567901166734 851851750101 929292818292 1135802333468 1703703500202 2555555250303 3407407000404 5111110500606 10222221001212