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122555680 = 2551358921
BaseRepresentation
bin1110100111000…
…00110100100000
322112121110210021
413103200310200
5222333240210
620054443224
73015464122
oct723406440
9275543707
10122555680
11631a7995
1235063514
131c510270
14123c3212
15ab5cbda
hex74e0d20

122555680 has 48 divisors (see below), whose sum is σ = 311815224. Its totient is φ = 45250560.

The previous prime is 122555659. The next prime is 122555701. The reversal of 122555680 is 86555221.

It is an interprime number because it is at equal distance from previous prime (122555659) and next prime (122555701).

It can be written as a sum of positive squares in 4 ways, for example, as 61528336 + 61027344 = 7844^2 + 7812^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27381 + ... + 31540.

Almost surely, 2122555680 is an apocalyptic number.

122555680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122555680 is an abundant number, since it is smaller than the sum of its proper divisors (189259544).

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

122555680 is a wasteful number, since it uses less digits than its factorization.

122555680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58949 (or 58941 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 122555680 is about 11070.4868908282. The cubic root of 122555680 is about 496.7194294551.

The spelling of 122555680 in words is "one hundred twenty-two million, five hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 58921 117842 235684 294605 471368 589210 765973 942736 1178420 1531946 1885472 2356840 3063892 3829865 4713680 6127784 7659730 9427360 12255568 15319460 24511136 30638920 61277840 122555680