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1222001112100 = 225282114884301
BaseRepresentation
bin10001110010000100111…
…100010011010000100100
311022211012100200101222011
4101302010330103100210
5130010124241041400
62333213552444004
7154200220033006
oct21620474232044
94284170611864
101222001112100
1143127a85226a
121789b9849604
138b307738c32
14432064b8376
1521bc14888ba
hex11c84f13424

1222001112100 has 36 divisors (see below), whose sum is σ = 2654972484948. Its totient is φ = 488205040000.

The previous prime is 1222001112091. The next prime is 1222001112149. The reversal of 1222001112100 is 12111002221.

It can be written as a sum of positive squares in 6 ways, for example, as 183896884224 + 1038104227876 = 428832^2 + 1018874^2 .

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, 7360051 + ... + 7524250.

It is an arithmetic number, because the mean of its divisors is an integer number (73749235693).

Almost surely, 21222001112100 is an apocalyptic number.

1222001112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222001112100 is an abundant number, since it is smaller than the sum of its proper divisors (1432971372848).

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

1222001112100 is a wasteful number, since it uses less digits than its factorization.

1222001112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14885136 (or 14885129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1222001112100 its reverse (12111002221), we get a palindrome (1234112114321).

The spelling of 1222001112100 in words is "one trillion, two hundred twenty-two billion, one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 821 1642 3284 4105 8210 16420 20525 41050 82100 14884301 29768602 59537204 74421505 148843010 297686020 372107525 744215050 1488430100 12220011121 24440022242 48880044484 61100055605 122200111210 244400222420 305500278025 611000556050 1222001112100