Search a number
-
+
1122121211220 = 2233559193182489
BaseRepresentation
bin10000010101000011101…
…000101101110101010100
310222021101120000201202000
4100111003220231311110
5121341101012224340
62215254555515300
7144033131630502
oct20250350556524
93867346021660
101122121211220
113a2986196439
12161584158b30
1381a7aa89579
143c44d39b672
151e2c7a73d30
hex10543a2dd54

1122121211220 has 192 divisors, whose sum is σ = 3568628448000. Its totient is φ = 292634836992.

The previous prime is 1122121211111. The next prime is 1122121211231. The reversal of 1122121211220 is 221121212211.

1122121211220 is a `hidden beast` number, since 1 + 1 + 221 + 212 + 11 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1122121211193 and 1122121211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6057736 + ... + 6240224.

It is an arithmetic number, because the mean of its divisors is an integer number (18586606500).

Almost surely, 21122121211220 is an apocalyptic number.

1122121211220 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 1122121211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784314224000).

1122121211220 is an abundant number, since it is smaller than the sum of its proper divisors (2446507236780).

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

1122121211220 is a wasteful number, since it uses less digits than its factorization.

1122121211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182759 (or 182751 counting only the distinct ones).

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

Adding to 1122121211220 its reverse (221121212211), we get a palindrome (1343242423431).

Subtracting from 1122121211220 its reverse (221121212211), we obtain a palindrome (900999999009).

The spelling of 1122121211220 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred eleven thousand, two hundred twenty".