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122213012130 = 232511317156087
BaseRepresentation
bin111000111010001110…
…1101001001010100010
3102200110020100021102200
41301310131221022202
54000243012342010
6132051024554030
711554360314546
oct1616435511242
9380406307380
10122213012130
1147915071970
121b828a82916
13b6a88235c1
145cb520da26
1532a43e2cc0
hex1c747692a2

122213012130 has 192 divisors, whose sum is σ = 362868719616. Its totient is φ = 28267344000.

The previous prime is 122213012101. The next prime is 122213012149. The reversal of 122213012130 is 31210312221.

122213012130 is a `hidden beast` number, since 12 + 221 + 301 + 2 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2150947 + ... + 2207033.

It is an arithmetic number, because the mean of its divisors is an integer number (1889941248).

Almost surely, 2122213012130 is an apocalyptic number.

122213012130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122213012130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181434359808).

122213012130 is an abundant number, since it is smaller than the sum of its proper divisors (240655707486).

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

122213012130 is a wasteful number, since it uses less digits than its factorization.

122213012130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56213 (or 56210 counting only the distinct ones).

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

Adding to 122213012130 its reverse (31210312221), we get a palindrome (153423324351).

The spelling of 122213012130 in words is "one hundred twenty-two billion, two hundred thirteen million, twelve thousand, one hundred thirty".