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123012211320 = 233253711381727
BaseRepresentation
bin111001010010000011…
…0010110001001111000
3102202111221011210121200
41302210012112021320
54003412111230240
6132302214334200
711613233354415
oct1624406261170
9382457153550
10123012211320
1148195206069
121ba1065a360
13b7a5285b2b
145d4d40b10c
1532ee65c930
hex1ca4196278

123012211320 has 192 divisors, whose sum is σ = 414233464320. Its totient is φ = 31633846272.

The previous prime is 123012211249. The next prime is 123012211331. The reversal of 123012211320 is 23112210321.

123012211320 is a `hidden beast` number, since 12 + 301 + 22 + 11 + 320 = 666.

It is a super-2 number, since 2×1230122113202 (a number of 23 digits) contains 22 as substring.

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 = 123012211293 and 123012211302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1464297 + ... + 1546023.

It is an arithmetic number, because the mean of its divisors is an integer number (2157465960).

Almost surely, 2123012211320 is an apocalyptic number.

123012211320 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 123012211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207116732160).

123012211320 is an abundant number, since it is smaller than the sum of its proper divisors (291221253000).

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

123012211320 is a wasteful number, since it uses less digits than its factorization.

123012211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81894 (or 81887 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123012211320 its reverse (23112210321), we get a palindrome (146124421641).

Subtracting from 123012211320 its reverse (23112210321), we obtain a palindrome (99900000999).

The spelling of 123012211320 in words is "one hundred twenty-three billion, twelve million, two hundred eleven thousand, three hundred twenty".