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122228330532 = 22371121719311201
BaseRepresentation
bin111000111010101100…
…0000101000000100100
3102200111022011112022220
41301311120011000210
54000310423034112
6132052333152340
711554634444610
oct1616530050044
9380438145286
10122228330532
1147922784900
121b83202b6b0
13b6aba57b49
145cb727a340
1532a591b98c
hex1c75605024

122228330532 has 576 divisors, whose sum is σ = 412531015680. Its totient is φ = 27371520000.

The previous prime is 122228330479. The next prime is 122228330537. The reversal of 122228330532 is 235033822221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 122228330493 and 122228330502.

It is not an unprimeable number, because it can be changed into a prime (122228330537) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101771532 + ... + 101772732.

It is an arithmetic number, because the mean of its divisors is an integer number (716199680).

Almost surely, 2122228330532 is an apocalyptic number.

122228330532 is a gapful number since it is divisible by the number (12) 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 122228330532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206265507840).

122228330532 is an abundant number, since it is smaller than the sum of its proper divisors (290302685148).

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

122228330532 is a wasteful number, since it uses less digits than its factorization.

122228330532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 122228330532 in words is "one hundred twenty-two billion, two hundred twenty-eight million, three hundred thirty thousand, five hundred thirty-two".