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122011240040004 = 223710114381334281
BaseRepresentation
bin11011101111011111110100…
…100111110000011001000100
3121000000011100002202002010110
4123233133310213300121010
5111443013004422240004
61111255105002553020
734462010161355160
oct3357376447603104
9530004302662113
10122011240040004
11359707491a3457
1211826719508770
1353107c2551793
14221b538635ca0
15e18bd42da589
hex6ef7f49f0644

122011240040004 has 48 divisors (see below), whose sum is σ = 328584725675136. Its totient is φ = 34515202272000.

The previous prime is 122011240039943. The next prime is 122011240040009. The reversal of 122011240040004 is 400040042110221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (122011240040009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7190658657 + ... + 7190675624.

It is an arithmetic number, because the mean of its divisors is an integer number (6845515118232).

Almost surely, 2122011240040004 is an apocalyptic number.

122011240040004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122011240040004 is an abundant number, since it is smaller than the sum of its proper divisors (206573485635132).

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

122011240040004 is a wasteful number, since it uses less digits than its factorization.

122011240040004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14381334396 (or 14381334394 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 122011240040004 its reverse (400040042110221), we get a palindrome (522051282150225).

The spelling of 122011240040004 in words is "one hundred twenty-two trillion, eleven billion, two hundred forty million, forty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2828 4242 8484 14381334281 28762668562 43144002843 57525337124 86288005686 100669339967 172576011372 201338679934 302008019901 402677359868 604016039802 1208032079604 1452514762381 2905029524762 4357544287143 5810059049524 8715088574286 10167603336667 17430177148572 20335206673334 30502810010001 40670413346668 61005620020002 122011240040004