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122200131300 = 223521329772467
BaseRepresentation
bin111000111001110110…
…0100000011011100100
3102200102100002212020220
41301303230200123210
54000231213200200
6132045444524340
711554142656242
oct1616354403344
9380370085226
10122200131300
1147908874355
121b8246b06b0
13b6a5c63700
145cb3619792
1532a31eb4a0
hex1c73b206e4

122200131300 has 216 divisors, whose sum is σ = 383402398176. Its totient is φ = 30037063680.

The previous prime is 122200131281. The next prime is 122200131311. The reversal of 122200131300 is 3131002221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122200131300.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49532667 + ... + 49535133.

Almost surely, 2122200131300 is an apocalyptic number.

122200131300 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 122200131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191701199088).

122200131300 is an abundant number, since it is smaller than the sum of its proper divisors (261202266876).

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

122200131300 is a wasteful number, since it uses less digits than its factorization.

122200131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122200131300 its reverse (3131002221), we get a palindrome (125331133521).

The spelling of 122200131300 in words is "one hundred twenty-two billion, two hundred million, one hundred thirty-one thousand, three hundred".