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1020222120012 = 223229997372377
BaseRepresentation
bin11101101100010011111…
…10100010000001001100
310121112101000220120002220
432312021332202001030
5113203403330320022
62100403352415340
7133465024636104
oct16661176420114
93545330816086
101020222120012
11363745875a77
121458863a7550
137528b9a3b24
143754402c204
151b811c5a85c
hexed89fa204c

1020222120012 has 48 divisors (see below), whose sum is σ = 2393318091360. Its totient is φ = 338248484352.

The previous prime is 1020222119957. The next prime is 1020222120019. The reversal of 1020222120012 is 2100212220201.

It is a junction number, because it is equal to n+sod(n) for n = 1020222119973 and 1020222120000.

It is not an unprimeable number, because it can be changed into a prime (1020222120019) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2553568 + ... + 2925944.

It is an arithmetic number, because the mean of its divisors is an integer number (49860793570).

Almost surely, 21020222120012 is an apocalyptic number.

1020222120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020222120012 is an abundant number, since it is smaller than the sum of its proper divisors (1373095971348).

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

1020222120012 is a wasteful number, since it uses less digits than its factorization.

1020222120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373610 (or 373608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1020222120012 its reverse (2100212220201), we get a palindrome (3120434340213).

The spelling of 1020222120012 in words is "one trillion, twenty billion, two hundred twenty-two million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 229 458 687 916 997 1374 1994 2748 2991 3988 5982 11964 228313 372377 456626 684939 744754 913252 1117131 1369878 1489508 2234262 2739756 4468524 85274333 170548666 255822999 341097332 371259869 511645998 742519738 1023291996 1113779607 1485039476 2227559214 4455118428 85018510001 170037020002 255055530003 340074040004 510111060006 1020222120012