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1222200001100 = 2252132087450481
BaseRepresentation
bin10001110010010000110…
…011000000001001001100
311022211201012221000101102
4101302100303000021030
5130011031200013400
62333245415402232
7154205153412221
oct21622063001114
94284635830342
101222200001100
11431372046541
12178a54383378
138b3399c4630
1443224a8b948
1521bd3b739d5
hex11c90cc024c

1222200001100 has 72 divisors (see below), whose sum is σ = 2857562291808. Its totient is φ = 451056614400.

The previous prime is 1222200001073. The next prime is 1222200001129. The reversal of 1222200001100 is 11000022221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2487860 + ... + 2938340.

It is an arithmetic number, because the mean of its divisors is an integer number (39688365164).

Almost surely, 21222200001100 is an apocalyptic number.

1222200001100 is a gapful number since it is divisible by the number (10) 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 1222200001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428781145904).

1222200001100 is an abundant number, since it is smaller than the sum of its proper divisors (1635362290708).

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

1222200001100 is a wasteful number, since it uses less digits than its factorization.

1222200001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452595 (or 452588 counting only the distinct ones).

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

Adding to 1222200001100 its reverse (11000022221), we get a palindrome (1233200023321).

The spelling of 1222200001100 in words is "one trillion, two hundred twenty-two billion, two hundred million, one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2087 4174 8348 10435 20870 27131 41740 52175 54262 104350 108524 135655 208700 271310 450481 542620 678275 900962 1356550 1801924 2252405 2713100 4504810 5856253 9009620 11262025 11712506 22524050 23425012 29281265 45048100 58562530 117125060 146406325 292812650 585625300 940153847 1880307694 3760615388 4700769235 9401538470 12222000011 18803076940 23503846175 24444000022 47007692350 48888000044 61110000055 94015384700 122220000110 244440000220 305550000275 611100000550 1222200001100