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1220020100012 = 227217682753633
BaseRepresentation
bin10001110000001110110…
…111010101101110101100
311022122002022001120021002
4101300032313111232230
5124442100121200022
62332245224455432
7154100143513400
oct21601667255654
94278068046232
101220020100012
114304535a459a
1217854631a578
138b0801ac42c
1443099363100
1521b075c7092
hex11c0edd5bac

1220020100012 has 72 divisors (see below), whose sum is σ = 2630141421264. Its totient is φ = 492027691008.

The previous prime is 1220020099999. The next prime is 1220020100017. The reversal of 1220020100012 is 2100010200221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1220020099966 and 1220020100002.

It is not an unprimeable number, because it can be changed into a prime (1220020100017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22720748 + ... + 22774380.

It is an arithmetic number, because the mean of its divisors is an integer number (36529741962).

Almost surely, 21220020100012 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 1220020100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315070710632).

1220020100012 is an abundant number, since it is smaller than the sum of its proper divisors (1410121321252).

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

1220020100012 is a wasteful number, since it uses less digits than its factorization.

1220020100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60495 (or 60486 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1220020100012 its reverse (2100010200221), we get a palindrome (3320030300233).

The spelling of 1220020100012 in words is "one trillion, two hundred twenty billion, twenty million, one hundred thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 3332 6827 13654 27308 47789 53633 95578 107266 116059 191156 214532 232118 334523 375431 464236 669046 750862 812413 911761 1338092 1501724 1624826 1823522 2628017 3249652 3647044 5256034 5686891 6382327 10512068 11373782 12764654 22747564 25529308 44676289 89352578 178705156 366152491 732304982 1464609964 2563067437 5126134874 6224592347 10252269748 12449184694 17941472059 24898369388 35882944118 43572146429 71765888236 87144292858 174288585716 305005025003 610010050006 1220020100012