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121220100 = 2232523672
BaseRepresentation
bin1110011100110…
…10110000000100
322110002121201100
413032122300010
5222013020400
620010100100
73001232241
oct716326004
9273077640
10121220100
1162475501
123471a630
131c163391
14121565c8
15a997100
hex739ac04

121220100 has 81 divisors (see below), whose sum is σ = 380995797. Its totient is φ = 32237280.

The previous prime is 121220069. The next prime is 121220101. The reversal of 121220100 is 1022121.

The square root of 121220100 is 11010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43639236 + 77580864 = 6606^2 + 8808^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (121220101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 330117 + ... + 330483.

Almost surely, 2121220100 is an apocalyptic number.

121220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121220100 is the 11010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220100

121220100 is an abundant number, since it is smaller than the sum of its proper divisors (259775697).

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

121220100 is a wasteful number, since it uses less digits than its factorization.

121220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The cubic root of 121220100 is about 494.9084617999.

The spelling of 121220100 in words is "one hundred twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 367 450 734 900 1101 1468 1835 2202 3303 3670 4404 5505 6606 7340 9175 11010 13212 16515 18350 22020 27525 33030 36700 55050 66060 82575 110100 134689 165150 269378 330300 404067 538756 673445 808134 1212201 1346890 1616268 2020335 2424402 2693780 3367225 4040670 4848804 6061005 6734450 8081340 10101675 12122010 13468900 20203350 24244020 30305025 40406700 60610050 121220100