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122020124130 = 23252295920433
BaseRepresentation
bin111000110100011110…
…1110101010111100010
3102122221210101112211200
41301220331311113202
53444344122433010
6132015534422030
711546525641062
oct1615075652742
9378853345750
10122020124130
11478261a72a3
121b794361916
13b6778894a8
145c9775d3a2
1532924e0cc0
hex1c68f755e2

122020124130 has 48 divisors (see below), whose sum is σ = 318637757880. Its totient is φ = 32396603904.

The previous prime is 122020124119. The next prime is 122020124131. The reversal of 122020124130 is 31421020221.

It is a happy number.

122020124130 is a `hidden beast` number, since 1 + 220 + 20 + 12 + 413 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103521132009 + 18498992121 = 321747^2 + 136011^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122020124131) 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, 2939607 + ... + 2980826.

Almost surely, 2122020124130 is an apocalyptic number.

122020124130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122020124130 is an abundant number, since it is smaller than the sum of its proper divisors (196617633750).

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

122020124130 is a wasteful number, since it uses less digits than its factorization.

122020124130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920675 (or 5920672 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122020124130 its reverse (31421020221), we get a palindrome (153441144351).

The spelling of 122020124130 in words is "one hundred twenty-two billion, twenty million, one hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 458 687 1145 1374 2061 2290 3435 4122 6870 10305 20610 5920433 11840866 17761299 29602165 35522598 53283897 59204330 88806495 106567794 177612990 266419485 532838970 1355779157 2711558314 4067337471 6778895785 8134674942 12202012413 13557791570 20336687355 24404024826 40673374710 61010062065 122020124130