Search a number
-
+
121042037536 = 25723110612347
BaseRepresentation
bin111000010111010101…
…0101110101100100000
3102120102121221121021021
41300232222232230200
53440343230200121
6131334514535224
711513351225500
oct1605652565440
9376377847237
10121042037536
1147374090372
121b560897514
13b550052624
145c038b7a00
1532366dc641
hex1c2eaaeb20

121042037536 has 144 divisors (see below), whose sum is σ = 286541805312. Its totient is φ = 50133081600.

The previous prime is 121042037531. The next prime is 121042037563. The reversal of 121042037536 is 635730240121.

It is not an unprimeable number, because it can be changed into a prime (121042037531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51571915 + ... + 51574261.

It is an arithmetic number, because the mean of its divisors is an integer number (1989873648).

Almost surely, 2121042037536 is an apocalyptic number.

121042037536 is a gapful number since it is divisible by the number (16) 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 121042037536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143270902656).

121042037536 is an abundant number, since it is smaller than the sum of its proper divisors (165499767776).

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

121042037536 is a wasteful number, since it uses less digits than its factorization.

121042037536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

Adding to 121042037536 its reverse (635730240121), we get a palindrome (756772277657).

The spelling of 121042037536 in words is "one hundred twenty-one billion, forty-two million, thirty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 392 434 496 784 868 992 1061 1519 1568 1736 2122 2347 3038 3472 4244 4694 6076 6944 7427 8488 9388 12152 14854 16429 16976 18776 24304 29708 32858 32891 33952 37552 48608 51989 59416 65716 65782 72757 75104 103978 115003 118832 131432 131564 145514 207956 230006 230237 237664 262864 263128 291028 415912 460012 460474 509299 525728 526256 582056 831824 920024 920948 1018598 1052512 1164112 1611659 1663648 1840048 1841896 2037196 2328224 2490167 3223318 3565093 3680096 3683792 4074392 4980334 6446636 7130186 7367584 8148784 9960668 12893272 14260372 16297568 17431169 19921336 25786544 28520744 34862338 39842672 51573088 57041488 69724676 77195177 79685344 114082976 122018183 139449352 154390354 244036366 278898704 308780708 488072732 540366239 557797408 617561416 976145464 1080732478 1235122832 1952290928 2161464956 2470245664 3782563673 3904581856 4322929912 7565127346 8645859824 15130254692 17291719648 30260509384 60521018768 121042037536