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1221022000 = 24531155501
BaseRepresentation
bin100100011000111…
…0101000100110000
310011002120100022001
41020301311010300
510000040201000
6321054423344
742154341622
oct11061650460
93132510261
101221022000
115772649a0
122a0b01b54
13165c74b33
14b8242c12
15722de46a
hex48c75130

1221022000 has 80 divisors (see below), whose sum is σ = 3220892064. Its totient is φ = 444000000.

The previous prime is 1221021931. The next prime is 1221022013. The reversal of 1221022000 is 2201221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5751 + ... + 49750.

Almost surely, 21221022000 is an apocalyptic number.

1221022000 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 1221022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610446032).

1221022000 is an abundant number, since it is smaller than the sum of its proper divisors (1999870064).

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

1221022000 is a wasteful number, since it uses less digits than its factorization.

1221022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55535 (or 55519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1221022000 is about 34943.1252179882. The cubic root of 1221022000 is about 1068.8280177421.

Adding to 1221022000 its reverse (2201221), we get a palindrome (1223223221).

It can be divided in two parts, 12 and 21022000, that added together give a palindrome (21022012).

The spelling of 1221022000 in words is "one billion, two hundred twenty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 55501 111002 222004 277505 444008 555010 610511 888016 1110020 1221022 1387525 2220040 2442044 2775050 3052555 4440080 4884088 5550100 6105110 6937625 9768176 11100200 12210220 13875250 15262775 22200400 24420440 27750500 30525550 48840880 55501000 61051100 76313875 111002000 122102200 152627750 244204400 305255500 610511000 1221022000