Search a number
-
+
1120022123220 = 2235571113230227
BaseRepresentation
bin10000010011000110100…
…001010101001011010100
310222001222021020000100000
4100103012201111023110
5121322301130420340
62214310413051300
7143630122652430
oct20230641251324
93861867200300
101120022123220
113a1aa9320570
12161099186b30
1381804c2a870
143c2d06ab9c0
151e20363bd30
hex104c68552d4

1120022123220 has 576 divisors, whose sum is σ = 4730511292416. Its totient is φ = 214828485120.

The previous prime is 1120022123197. The next prime is 1120022123221. The reversal of 1120022123220 is 223212200211.

1120022123220 is a `hidden beast` number, since 1 + 1 + 200 + 221 + 23 + 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 = 1120022123193 and 1120022123202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120022123221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4749747 + ... + 4979973.

It is an arithmetic number, because the mean of its divisors is an integer number (8212693216).

Almost surely, 21120022123220 is an apocalyptic number.

1120022123220 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 1120022123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365255646208).

1120022123220 is an abundant number, since it is smaller than the sum of its proper divisors (3610489169196).

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

1120022123220 is a wasteful number, since it uses less digits than its factorization.

1120022123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230282 (or 230268 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1120022123220 its reverse (223212200211), we get a palindrome (1343234323431).

The spelling of 1120022123220 in words is "one trillion, one hundred twenty billion, twenty-two million, one hundred twenty-three thousand, two hundred twenty".