Search a number
-
+
12198020076 = 223211101304981
BaseRepresentation
bin10110101110000111…
…10000001111101100
31011111002201121211100
423113003300033230
5144440143120301
65334221523100
7611164313514
oct132703601754
934432647740
1012198020076
11519a512030
122445113490
1311c51a7878
1483a046844
154b5d38286
hex2d70f03ec

12198020076 has 72 divisors (see below), whose sum is σ = 33970115088. Its totient is φ = 3659760000.

The previous prime is 12198020063. The next prime is 12198020117. The reversal of 12198020076 is 67002089121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12198020076.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112495 + ... + 192486.

It is an arithmetic number, because the mean of its divisors is an integer number (471807154).

Almost surely, 212198020076 is an apocalyptic number.

It is an amenable number.

12198020076 is an abundant number, since it is smaller than the sum of its proper divisors (21772095012).

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

12198020076 is a wasteful number, since it uses less digits than its factorization.

12198020076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305103 (or 305098 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12198020076 in words is "twelve billion, one hundred ninety-eight million, twenty thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1818 2222 3333 3636 4444 6666 9999 13332 19998 39996 304981 609962 914943 1219924 1829886 2744829 3354791 3659772 5489658 6709582 10064373 10979316 13419164 20128746 30193119 30803081 40257492 60386238 61606162 92409243 120772476 123212324 184818486 277227729 338833891 369636972 554455458 677667782 1016501673 1108910916 1355335564 2033003346 3049505019 4066006692 6099010038 12198020076