Search a number
-
+
1223167672128 = 2632373251977
BaseRepresentation
bin10001110011001010011…
…110010111111101000000
311022221012122202210111010
4101303022132113331000
5130020021411002003
62333525424120520
7154241143444443
oct21631236277500
94287178683433
101223167672128
11431819299066
12179084466140
138b46232273c
14432b73c165a
1521c3dabb003
hex11cca797f40

1223167672128 has 168 divisors, whose sum is σ = 3423966337728. Its totient is φ = 384645685248.

The previous prime is 1223167672109. The next prime is 1223167672141. The reversal of 1223167672128 is 8212767613221.

It is a happy number.

It is a super-2 number, since 2×12231676721282 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23506876 + ... + 23558852.

Almost surely, 21223167672128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223167672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711983168864).

1223167672128 is an abundant number, since it is smaller than the sum of its proper divisors (2200798665600).

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

1223167672128 is an equidigital number, since it uses as much as digits as its factorization.

1223167672128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52161 (or 52078 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The spelling of 1223167672128 in words is "one trillion, two hundred twenty-three billion, one hundred sixty-seven million, six hundred seventy-two thousand, one hundred twenty-eight".