Search a number
-
+
121122000210978 = 2341357512820613
BaseRepresentation
bin11011100010100011101001…
…110011000000110000100010
3120212212011001110010022120000
4123202203221303000300202
5111333430324023222403
61105334402335200430
734340530035466404
oct3342435163006042
9525764043108500
10121122000210978
1135658608525348
1211702308976116
1352779a90cbc60
1421ca49c330b74
15e009db7777a3
hex6e28e9cc0c22

121122000210978 has 40 divisors (see below), whose sum is σ = 292280154360348. Its totient is φ = 37268307756576.

The previous prime is 121122000210949. The next prime is 121122000210979. The reversal of 121122000210978 is 879012000221121.

121122000210978 is a `hidden beast` number, since 1 + 211 + 220 + 0 + 0 + 210 + 9 + 7 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121118983235649 + 3016975329 = 11005407^2 + 54927^2 .

It is not an unprimeable number, because it can be changed into a prime (121122000210979) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28756408201 + ... + 28756412412.

Almost surely, 2121122000210978 is an apocalyptic number.

121122000210978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

121122000210978 is an abundant number, since it is smaller than the sum of its proper divisors (171158154149370).

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

121122000210978 is a wasteful number, since it uses less digits than its factorization.

121122000210978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57512820640 (or 57512820631 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 121122000210978 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred ten thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 57512820613 115025641226 172538461839 345076923678 517615385517 747666667969 1035230771034 1495333335938 1552846156551 2243000003907 3105692313102 4486000007814 4658538469653 6729000011721 9317076939306 13458000023442 20187000035163 40374000070326 60561000105489 121122000210978