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122200324040 = 23510369294629
BaseRepresentation
bin111000111001110110…
…1001111011111001000
3102200102100110122122102
41301303231033133020
54000231240332130
6132045453012532
711554144421204
oct1616355173710
9380370418572
10122200324040
1147908996143
121b824784148
13b6a6000362
145cb3669b04
1532a3238645
hex1c73b4f7c8

122200324040 has 32 divisors (see below), whose sum is σ = 274978179000. Its totient is φ = 48875249664.

The previous prime is 122200323937. The next prime is 122200324049. The reversal of 122200324040 is 40423002221.

122200324040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 84693804484 + 37506519556 = 291022^2 + 193666^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (122200324049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267446 + ... + 562074.

Almost surely, 2122200324040 is an apocalyptic number.

122200324040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200324040 is an abundant number, since it is smaller than the sum of its proper divisors (152777854960).

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

122200324040 is a wasteful number, since it uses less digits than its factorization.

122200324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305009 (or 305005 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 122200324040 its reverse (40423002221), we get a palindrome (162623326261).

The spelling of 122200324040 in words is "one hundred twenty-two billion, two hundred million, three hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 10369 20738 41476 51845 82952 103690 207380 294629 414760 589258 1178516 1473145 2357032 2946290 5892580 11785160 3055008101 6110016202 12220032404 15275040505 24440064808 30550081010 61100162020 122200324040