Search a number
-
+
2120121202122 = 233711509889659
BaseRepresentation
bin11110110110100001000…
…100100011010111001010
321111200101220002011112000
4132312201010203113022
5234214002011431442
64301545323131430
7306113402606310
oct36664104432712
97450356064460
102120121202122
11748158168950
122a2a88373b76
13124c078a6871
1474885d460b0
153a238924d4c
hex1eda11235ca

2120121202122 has 64 divisors (see below), whose sum is σ = 5873928883200. Its totient is φ = 550680830640.

The previous prime is 2120121202081. The next prime is 2120121202207. The reversal of 2120121202122 is 2212021210212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120121202095 and 2120121202104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254940672 + ... + 254948987.

It is an arithmetic number, because the mean of its divisors is an integer number (91780138800).

Almost surely, 22120121202122 is an apocalyptic number.

2120121202122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2120121202122 is an abundant number, since it is smaller than the sum of its proper divisors (3753807681078).

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

2120121202122 is a wasteful number, since it uses less digits than its factorization.

2120121202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509889688 (or 509889682 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2120121202122 its reverse (2212021210212), we get a palindrome (4332142412334).

The spelling of 2120121202122 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 509889659 1019779318 1529668977 3059337954 3569227613 4589006931 5608786249 7138455226 9178013862 10707682839 11217572498 13767020793 16826358747 21415365678 27534041586 32123048517 33652717494 39261503743 50479076241 64246097034 78523007486 96369145551 100958152482 117784511229 151437228723 192738291102 235569022458 302874457446 353353533687 706707067374 1060060601061 2120121202122