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122371104 = 25312710037
BaseRepresentation
bin1110100101100…
…11110000100000
322112021002121010
413102303300200
5222311333404
620050500520
73014065032
oct722636040
9275232533
10122371104
1163091249
1234b94740
131c47724b
1412375c52
15ab23189
hex74b3c20

122371104 has 48 divisors (see below), whose sum is σ = 323785728. Its totient is φ = 40465152.

The previous prime is 122371069. The next prime is 122371111. The reversal of 122371104 is 401173221.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7174 + ... + 17210.

It is an arithmetic number, because the mean of its divisors is an integer number (6745536).

Almost surely, 2122371104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122371104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161892864).

122371104 is an abundant number, since it is smaller than the sum of its proper divisors (201414624).

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

122371104 is a wasteful number, since it uses less digits than its factorization.

122371104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10177 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 122371104 is about 11062.1473503113. The cubic root of 122371104 is about 496.4699413575.

It can be divided in two parts, 1223 and 71104, that added together give a palindrome (72327).

The spelling of 122371104 in words is "one hundred twenty-two million, three hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 10037 12192 20074 30111 40148 60222 80296 120444 160592 240888 321184 481776 963552 1274699 2549398 3824097 5098796 7648194 10197592 15296388 20395184 30592776 40790368 61185552 122371104