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12220022120310 = 23257115117777127
BaseRepresentation
bin1011000111010011001000…
…0100111101111101110110
31121021020000100111212220100
42301310302010331331312
53100203101130322220
641553444535414530
72400603353123064
oct261646204757566
947236010455810
1012220022120310
113991533a03374
1214543a4824446
136a845cb5cc14
14303648ca3034
15162d0e02ed90
hexb1d3213df76

12220022120310 has 192 divisors, whose sum is σ = 32455730571264. Its totient is φ = 3189255552000.

The previous prime is 12220022120263. The next prime is 12220022120401. The reversal of 12220022120310 is 1302122002221.

12220022120310 is a `hidden beast` number, since 12 + 2 + 200 + 22 + 120 + 310 = 666.

It is a super-2 number, since 2×122200221203102 (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1714605967 + ... + 1714613093.

It is an arithmetic number, because the mean of its divisors is an integer number (169040263392).

Almost surely, 212220022120310 is an apocalyptic number.

12220022120310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220022120310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16227865285632).

12220022120310 is an abundant number, since it is smaller than the sum of its proper divisors (20235708450954).

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

12220022120310 is a wasteful number, since it uses less digits than its factorization.

12220022120310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9139 (or 9136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12220022120310 its reverse (1302122002221), we get a palindrome (13522144122531).

The spelling of 12220022120310 in words is "twelve trillion, two hundred twenty billion, twenty-two million, one hundred twenty thousand, three hundred ten".