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122220011124040 = 23510183471362431
BaseRepresentation
bin11011110010100010010000…
…010110001111010101001000
3121000202010012201100222222011
4123302202100112033111020
5112004423040321432130
61111535033055505304
734513050545323564
oct3362422026172510
9530663181328864
10122220011124040
1135a41241012935
121185b082528234
1353273b3a811bb
1422276a15806a4
15e1e3527be52a
hex6f289058f548

122220011124040 has 64 divisors (see below), whose sum is σ = 277721841438720. Its totient is φ = 48403251360000.

The previous prime is 122220011124023. The next prime is 122220011124109. The reversal of 122220011124040 is 40421110022221.

It is a super-2 number, since 2×1222200111240402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337041625 + ... + 337404055.

It is an arithmetic number, because the mean of its divisors is an integer number (4339403772480).

Almost surely, 2122220011124040 is an apocalyptic number.

122220011124040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220011124040 is an abundant number, since it is smaller than the sum of its proper divisors (155501830314680).

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

122220011124040 is a wasteful number, since it uses less digits than its factorization.

122220011124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446014 (or 446010 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 122220011124040 its reverse (40421110022221), we get a palindrome (162641121146261).

The spelling of 122220011124040 in words is "one hundred twenty-two trillion, two hundred twenty billion, eleven million, one hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 83471 166942 333884 362431 417355 667768 724862 834710 1449724 1669420 1812155 2899448 3338840 3624310 7248620 8430571 14497240 16861142 33722284 36605531 42152855 67444568 73211062 84305710 146422124 168611420 183027655 292844248 337222840 366055310 732110620 1464221240 30252478001 60504956002 121009912004 151262390005 242019824008 302524780010 605049560020 1210099120040 3055500278101 6111000556202 12222001112404 15277501390505 24444002224808 30555002781010 61110005562020 122220011124040