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1220212211100 = 2235259157571769
BaseRepresentation
bin10001110000011010010…
…100001011110110011100
311022122120200112211010120
4101300122110023312130
5124442443311223400
62332320250234540
7154104665443131
oct21603224136634
94278520484116
101220212211100
11430541a89493
1217859a725a50
138b0b0c33a2c
14430b6a90588
1521b193c3ca0
hex11c1a50bd9c

1220212211100 has 288 divisors, whose sum is σ = 3624222201600. Its totient is φ = 316868198400.

The previous prime is 1220212211077. The next prime is 1220212211123. The reversal of 1220212211100 is 11122120221.

It is an interprime number because it is at equal distance from previous prime (1220212211077) and next prime (1220212211123).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1220212211100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1586751516 + ... + 1586752284.

Almost surely, 21220212211100 is an apocalyptic number.

1220212211100 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 1220212211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812111100800).

1220212211100 is an abundant number, since it is smaller than the sum of its proper divisors (2404009990500).

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

1220212211100 is a wasteful number, since it uses less digits than its factorization.

1220212211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1220212211100 its reverse (11122120221), we get a palindrome (1231334331321).

The spelling of 1220212211100 in words is "one trillion, two hundred twenty billion, two hundred twelve million, two hundred eleven thousand, one hundred".