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1221022221000 = 23353569715303
BaseRepresentation
bin10001110001001010100…
…110001000001011001000
311022201200010201120211020
4101301022212020023020
5130001123142033000
62332532503432440
7154134032430051
oct21611246101310
94281603646736
101221022221000
1143091823695a
12178785a55720
138b1ac9acb2a
14431524a3728
1521b65576ba0
hex11c4a9882c8

1221022221000 has 128 divisors (see below), whose sum is σ = 3816289900800. Its totient is φ = 325033228800.

The previous prime is 1221022220983. The next prime is 1221022221049. The reversal of 1221022221000 is 1222201221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349349 + ... + 2064651.

It is an arithmetic number, because the mean of its divisors is an integer number (29814764850).

Almost surely, 21221022221000 is an apocalyptic number.

1221022221000 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 1221022221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908144950400).

1221022221000 is an abundant number, since it is smaller than the sum of its proper divisors (2595267679800).

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

1221022221000 is a wasteful number, since it uses less digits than its factorization.

1221022221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715896 (or 715882 counting only the distinct ones).

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

Adding to 1221022221000 its reverse (1222201221), we get a palindrome (1222244422221).

The spelling of 1221022221000 in words is "one trillion, two hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 569 600 750 1000 1138 1500 1707 2276 2845 3000 3414 4552 5690 6828 8535 11380 13656 14225 17070 22760 28450 34140 42675 56900 68280 71125 85350 113800 142250 170700 213375 284500 341400 426750 569000 715303 853500 1430606 1707000 2145909 2861212 3576515 4291818 5722424 7153030 8583636 10729545 14306060 17167272 17882575 21459090 28612120 35765150 42918180 53647725 71530300 85836360 89412875 107295450 143060600 178825750 214590900 268238625 357651500 407007407 429181800 536477250 715303000 814014814 1072954500 1221022221 1628029628 2035037035 2145909000 2442044442 3256059256 4070074070 4884088884 6105111105 8140148140 9768177768 10175185175 12210222210 16280296280 20350370350 24420444420 30525555525 40700740700 48840888840 50875925875 61051111050 81401481400 101751851750 122102222100 152627777625 203503703500 244204444200 305255555250 407007407000 610511110500 1221022221000