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122998960 = 2457239919
BaseRepresentation
bin1110101010011…
…01000010110000
322120102222212001
413111031002300
5222441431320
620112143344
73022321360
oct725150260
9276388761
10122998960
116347aa37
1235237b54
131c636c66
141249a9a0
15abe920a
hex754d0b0

122998960 has 80 divisors (see below), whose sum is σ = 328550400. Its totient is φ = 41948928.

The previous prime is 122998957. The next prime is 122998973. The reversal of 122998960 is 69899221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1229989602 = 30257488322163200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122998960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133381 + ... + 134299.

It is an arithmetic number, because the mean of its divisors is an integer number (4106880).

Almost surely, 2122998960 is an apocalyptic number.

122998960 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 122998960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164275200).

122998960 is an abundant number, since it is smaller than the sum of its proper divisors (205551440).

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

122998960 is a wasteful number, since it uses less digits than its factorization.

122998960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 122998960 is about 11090.4896194893. The cubic root of 122998960 is about 497.3175816651.

The spelling of 122998960 in words is "one hundred twenty-two million, nine hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 239 280 478 560 919 956 1195 1673 1838 1912 2390 3346 3676 3824 4595 4780 6433 6692 7352 8365 9190 9560 12866 13384 14704 16730 18380 19120 25732 26768 32165 33460 36760 51464 64330 66920 73520 102928 128660 133840 219641 257320 439282 514640 878564 1098205 1537487 1757128 2196410 3074974 3514256 4392820 6149948 7687435 8785640 12299896 15374870 17571280 24599792 30749740 61499480 122998960