Search a number
-
+
122012214324 = 2237111311039209
BaseRepresentation
bin111000110100001111…
…1101010010000110100
3102122221020111200121220
41301220133222100310
53444340111324244
6132015053110340
711546401465320
oct1615037522064
9378836450556
10122012214324
1147821794570
121b7917883b0
13b67604a130
145c966a0980
15329197c319
hex1c687ea434

122012214324 has 192 divisors, whose sum is σ = 382636154880. Its totient is φ = 29223982080.

The previous prime is 122012214299. The next prime is 122012214349. The reversal of 122012214324 is 423412210221.

It is an interprime number because it is at equal distance from previous prime (122012214299) and next prime (122012214349).

It is a junction number, because it is equal to n+sod(n) for n = 122012214294 and 122012214303.

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, 13244632 + ... + 13253840.

It is an arithmetic number, because the mean of its divisors is an integer number (1992896640).

Almost surely, 2122012214324 is an apocalyptic number.

122012214324 is a gapful number since it is divisible by the number (14) 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 122012214324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191318077440).

122012214324 is an abundant number, since it is smaller than the sum of its proper divisors (260623940556).

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

122012214324 is a wasteful number, since it uses less digits than its factorization.

122012214324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10350 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 122012214324 its reverse (423412210221), we get a palindrome (545424424545).

The spelling of 122012214324 in words is "one hundred twenty-two billion, twelve million, two hundred fourteen thousand, three hundred twenty-four".