Search a number
-
+
123211138680 = 233257172169181
BaseRepresentation
bin111001010111111110…
…1001100011001111000
3102210000210111100122200
41302233331030121320
54004314022414210
6132334042150200
711621200253520
oct1625775143170
9383023440580
10123211138680
1148287526143
121ba671b2360
13b807555b26
145d6b9d0680
153311d540c0
hex1caff4c678

123211138680 has 288 divisors, whose sum is σ = 486147860640. Its totient is φ = 26505768960.

The previous prime is 123211138679. The next prime is 123211138681. The reversal of 123211138680 is 86831112321.

It is an interprime number because it is at equal distance from previous prime (123211138679) and next prime (123211138681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123211138681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 643690 + ... + 812870.

It is an arithmetic number, because the mean of its divisors is an integer number (1688013405).

Almost surely, 2123211138680 is an apocalyptic number.

123211138680 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 123211138680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243073930320).

123211138680 is an abundant number, since it is smaller than the sum of its proper divisors (362936721960).

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

123211138680 is a wasteful number, since it uses less digits than its factorization.

123211138680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169239 (or 169215 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 123211138680 in words is "one hundred twenty-three billion, two hundred eleven million, one hundred thirty-eight thousand, six hundred eighty".