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121211012201000 = 2353121211012201
BaseRepresentation
bin11011100011110110100011…
…010100110011101000101000
3120220011122210211212220210012
4123203312203110303220220
5111341410123110413000
61105443323103111052
734350130610100401
oct3343664324635050
9526148724786705
10121211012201000
1135692335471967
121171760a8a2488
1352831c3321637
1421d0903d229a8
15e02e9aee0735
hex6e3da3533a28

121211012201000 has 32 divisors (see below), whose sum is σ = 283633768552680. Its totient is φ = 48484404880000.

The previous prime is 121211012200991. The next prime is 121211012201009. The reversal of 121211012201000 is 102210112121.

It is an interprime number because it is at equal distance from previous prime (121211012200991) and next prime (121211012201009).

It can be written as a sum of positive squares in 4 ways, for example, as 54144313991524 + 67066698209476 = 7358282^2 + 8189426^2 .

It is not an unprimeable number, because it can be changed into a prime (121211012201009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60605505101 + ... + 60605507100.

Almost surely, 2121211012201000 is an apocalyptic number.

121211012201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121211012201000 is an abundant number, since it is smaller than the sum of its proper divisors (162422756351680).

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

121211012201000 is a wasteful number, since it uses less digits than its factorization.

121211012201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121211012222 (or 121211012208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121211012201000 its reverse (102210112121), we get a palindrome (121313222313121).

The spelling of 121211012201000 in words is "one hundred twenty-one trillion, two hundred eleven billion, twelve million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 121211012201 242422024402 484844048804 606055061005 969688097608 1212110122010 2424220244020 3030275305025 4848440488040 6060550610050 12121101220100 15151376525125 24242202440200 30302753050250 60605506100500 121211012201000