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122074680 = 233572131597
BaseRepresentation
bin1110100011010…
…11011000111000
322111201000222110
413101223120320
5222222342210
620040252320
73011421600
oct721533070
9274630873
10122074680
11629a9572
1234a710a0
131c3a2350
14122d9c00
15aab5420
hex746b638

122074680 has 192 divisors, whose sum is σ = 459073440. Its totient is φ = 25740288.

The previous prime is 122074627. The next prime is 122074681. The reversal of 122074680 is 86470221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122074681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75642 + ... + 77238.

Almost surely, 2122074680 is an apocalyptic number.

122074680 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 122074680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229536720).

122074680 is an abundant number, since it is smaller than the sum of its proper divisors (336998760).

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

122074680 is a wasteful number, since it uses less digits than its factorization.

122074680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 122074680 is about 11048.7411047594. The cubic root of 122074680 is about 496.0687448074.

The spelling of 122074680 in words is "one hundred twenty-two million, seventy-four thousand, six hundred eighty".