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121122100021992 = 23341166197406677
BaseRepresentation
bin11011100010100011101111…
…101111110000101011101000
3120212212011022101221020112020
4123202203233233300223220
5111333431030101200432
61105334420302344440
734340532360043536
oct3342435757605350
9525764271836466
10121122100021992
11356586598a7893
121170233628b120
1352779c39a7724
1421ca4ab6b3156
15e009e53e122c
hex6e28efbf0ae8

121122100021992 has 64 divisors (see below), whose sum is σ = 310209450667200. Its totient is φ = 39386925365760.

The previous prime is 121122100021987. The next prime is 121122100022023. The reversal of 121122100021992 is 299120001221121.

It is a super-2 number, since 2×1211221000219922 (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, 12649758 + ... + 20056434.

It is an arithmetic number, because the mean of its divisors is an integer number (4847022666675).

Almost surely, 2121122100021992 is an apocalyptic number.

121122100021992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121122100021992 is an abundant number, since it is smaller than the sum of its proper divisors (189087350645208).

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

121122100021992 is a wasteful number, since it uses less digits than its factorization.

121122100021992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423346 (or 7423342 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 121122100021992 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred million, twenty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 16619 33238 49857 66476 99714 132952 199428 398856 681379 1362758 2044137 2725516 4088274 5451032 7406677 8176548 14813354 16353096 22220031 29626708 44440062 59253416 88880124 177760248 303673757 607347514 911021271 1214695028 1822042542 2429390056 3644085084 7288170168 123091565063 246183130126 369274695189 492366260252 738549390378 984732520504 1477098780756 2954197561512 5046754167583 10093508335166 15140262502749 20187016670332 30280525005498 40374033340664 60561050010996 121122100021992