Search a number
-
+
1122212211210 = 2335192331306809
BaseRepresentation
bin10000010101001001000…
…011110110101000001010
310222021121220021000021000
4100111021003312220022
5121341242311224320
62215312010155430
7144035315256546
oct20251103665012
93867556230230
101122212211210
113a2a225a0042
121615aa722b76
1381a9389b70c
143c45b4c8a26
151e2d0a4bc90
hex105490f6a0a

1122212211210 has 256 divisors, whose sum is σ = 3393073152000. Its totient is φ = 262431290880.

The previous prime is 1122212211193. The next prime is 1122212211217. The reversal of 1122212211210 is 121122122211.

1122212211210 is a `hidden beast` number, since 1 + 12 + 221 + 221 + 1 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1122212211217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3504286 + ... + 3811094.

It is an arithmetic number, because the mean of its divisors is an integer number (13254192000).

Almost surely, 21122212211210 is an apocalyptic number.

1122212211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122212211210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696536576000).

1122212211210 is an abundant number, since it is smaller than the sum of its proper divisors (2270860940790).

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

1122212211210 is a wasteful number, since it uses less digits than its factorization.

1122212211210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306898 (or 306892 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1122212211210 its reverse (121122122211), we get a palindrome (1243334333421).

The spelling of 1122212211210 in words is "one trillion, one hundred twenty-two billion, two hundred twelve million, two hundred eleven thousand, two hundred ten".