Search a number
-
+
122021040 = 24351926759
BaseRepresentation
bin1110100010111…
…10010010110000
322111121022101210
413101132102300
5222214133130
620035200120
73011106321
oct721362260
9274538353
10122021040
1162972239
1234a46040
131c383acb
14122c4448
15aaa45b0
hex745e4b0

122021040 has 80 divisors (see below), whose sum is σ = 398188800. Its totient is φ = 30825216.

The previous prime is 122020979. The next prime is 122021041. The reversal of 122021040 is 40120221.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (122021041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8820 + ... + 17939.

It is an arithmetic number, because the mean of its divisors is an integer number (4977360).

Almost surely, 2122021040 is an apocalyptic number.

122021040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021040 is an abundant number, since it is smaller than the sum of its proper divisors (276167760).

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

122021040 is a wasteful number, since it uses less digits than its factorization.

122021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26794 (or 26788 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 122021040 is about 11046.3134121751. The cubic root of 122021040 is about 495.9960761049.

Adding to 122021040 its reverse (40120221), we get a palindrome (162141261).

The spelling of 122021040 in words is "one hundred twenty-two million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 26759 53518 80277 107036 133795 160554 214072 267590 321108 401385 428144 508421 535180 642216 802770 1016842 1070360 1284432 1525263 1605540 2033684 2140720 2542105 3050526 3211080 4067368 5084210 6101052 6422160 7626315 8134736 10168420 12202104 15252630 20336840 24404208 30505260 40673680 61010520 122021040