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1221289356900 = 2235229140378087
BaseRepresentation
bin10001110001011010100…
…001001010111001100100
311022202100202101111101110
4101301122201022321210
5130002200033410100
62333015205225020
7154143455151654
oct21613241127144
94282322344343
101221289356900
11430a45004028
1217883b402170
138b223142102
1443179b60364
1521b7dc43250
hex11c5a84ae64

1221289356900 has 72 divisors (see below), whose sum is σ = 3655445411520. Its totient is φ = 314446912640.

The previous prime is 1221289356863. The next prime is 1221289356901. The reversal of 1221289356900 is 96539821221.

It is a happy number.

It is a super-2 number, since 2×12212893569002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1221289356900.

It is not an unprimeable number, because it can be changed into a prime (1221289356901) 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, 70180344 + ... + 70197743.

It is an arithmetic number, because the mean of its divisors is an integer number (50770075160).

Almost surely, 21221289356900 is an apocalyptic number.

1221289356900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221289356900 is an abundant number, since it is smaller than the sum of its proper divisors (2434156054620).

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

1221289356900 is a wasteful number, since it uses less digits than its factorization.

1221289356900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140378133 (or 140378126 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 1221289356900 in words is "one trillion, two hundred twenty-one billion, two hundred eighty-nine million, three hundred fifty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 140378087 280756174 421134261 561512348 701890435 842268522 1403780870 1684537044 2105671305 2807561740 3509452175 4070964523 4211342610 7018904350 8141929046 8422685220 10528356525 12212893569 14037808700 16283858092 20354822615 21056713050 24425787138 40709645230 42113426100 48851574276 61064467845 81419290460 101774113075 122128935690 203548226150 244257871380 305322339225 407096452300 610644678450 1221289356900