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121121210122002 = 2326728956117889
BaseRepresentation
bin11011100010100010111010…
…101101000011111100010010
3120212212002000101102122020100
4123202202322231003330102
5111333422214242401002
61105334152112553230
734340501333032116
oct3342427255037422
9525762011378210
10121121210122002
1135658242543852
1211702128252816
1352778b150929c
1421ca425425746
15e0099220c11c
hex6e28bab43f12

121121210122002 has 12 divisors (see below), whose sum is σ = 262429288597710. Its totient is φ = 40373736707328.

The previous prime is 121121210121887. The next prime is 121121210122013. The reversal of 121121210122002 is 200221012121121.

121121210122002 is a `hidden beast` number, since 1 + 211 + 21 + 210 + 1 + 220 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121025103301881 + 96106820121 = 11001141^2 + 310011^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6728956117889 = 121121210122002 / (1 + 2 + 1 + 1 + 2 + 1 + 2 + 1 + 0 + 1 + 2 + 2 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3364478058927 + ... + 3364478058962.

Almost surely, 2121121210122002 is an apocalyptic number.

121121210122002 is an abundant number, since it is smaller than the sum of its proper divisors (141308078475708).

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

121121210122002 is a wasteful number, since it uses less digits than its factorization.

121121210122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6728956117897 (or 6728956117894 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121121210122002 its reverse (200221012121121), we get a palindrome (321342222243123).

The spelling of 121121210122002 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred ten million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 6728956117889 13457912235778 20186868353667 40373736707334 60560605061001 121121210122002